{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Normalising a distribution"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Inspirations from https://chrisalbon.com/python/data_wrangling/pandas_normalize_column/ and https://stackoverflow.com/questions/26414913/normalize-columns-of-pandas-data-frame\n",
    "\n",
    "Note: few of the ideas here are experimental"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.rcParams[\"figure.figsize\"] = (20,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# data = {'score': [234, 24, 14, 27,-74,45,73,-18,59,160] }\n",
    "num_of_points=20\n",
    "scale = 0.1\n",
    "centre_of_distribution = 0.0\n",
    "data = {'score': np.random.normal(centre_of_distribution, scale, num_of_points) }"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.176591</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.010656</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.092630</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.029202</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.145553</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.086680</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.042975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.036686</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-0.094991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-0.107927</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.211896</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>-0.071075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.156561</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>-0.174679</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>-0.106494</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.067963</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.100826</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>-0.061010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>-0.067427</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.108861</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       score\n",
       "0  -0.176591\n",
       "1  -0.010656\n",
       "2  -0.092630\n",
       "3   0.029202\n",
       "4   0.145553\n",
       "5   0.086680\n",
       "6   0.042975\n",
       "7   0.036686\n",
       "8  -0.094991\n",
       "9  -0.107927\n",
       "10  0.211896\n",
       "11 -0.071075\n",
       "12  0.156561\n",
       "13 -0.174679\n",
       "14 -0.106494\n",
       "15  0.067963\n",
       "16  0.100826\n",
       "17 -0.061010\n",
       "18 -0.067427\n",
       "19  0.108861"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame(data)\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Raw data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10c85c7f0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['score'].plot(kind='bar')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x121274978>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['score'].plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    20.000000\n",
       "mean      0.001186\n",
       "std       0.113436\n",
       "min      -0.176591\n",
       "25%      -0.093220\n",
       "50%       0.009273\n",
       "75%       0.090217\n",
       "max       0.211896\n",
       "Name: score, dtype: float64"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['score'].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Removing minimum value from all numbers (inspecting a step)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['score_min_removed'] = df['score'] - df['score'].min()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10eb20ac8>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df[['score','score_min_removed']].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Note: don't be surprised that the plot of `score_min_removed` looks higher on the number-line axis than `score`. `min` value is a negative number, removing a negative value from a positive value only increases the positive value i.e. `x - (-y) = x + y`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1178afb38>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df[['score','score_min_removed']].plot(kind='bar')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Removing mean from all numbers (inspecting a step)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['score_mean_removed'] = df['score'] - df['score'].mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x117a833c8>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df[['score','score_mean_removed']].plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x117a9bb38>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df[['score','score_mean_removed']].plot(kind='bar')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparing: raw, minimum value removed from raw, mean removed from raw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1213a7a90>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df[['score','score_min_removed','score_mean_removed']].plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x117ef0978>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df[['score','score_min_removed','score_mean_removed']].plot(kind='bar')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Interesting to see that the plots of `score_min_removed` and `score_mean_removed` are quite close to each other"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Normalise mean (using scikit-learn's normalize function)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import normalize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.35712218 -0.0215501  -0.18732563  0.05905626  0.29435234  0.17529405\n",
      "  0.08690875  0.07419138 -0.19210112 -0.21826097  0.4285188  -0.14373475\n",
      "  0.31661413 -0.3532543  -0.21536327  0.1374428   0.20390148 -0.12338049\n",
      " -0.1363573   0.22015096]\n"
     ]
    }
   ],
   "source": [
    "values = normalize(np.array(df['score']).reshape(1,-1))\n",
    "print(values[0])\n",
    "df['score_sklearn_normalize'] = values[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x120a69c50>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['score_sklearn_normalize'].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Normalise by mean method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def normalise_mean(data):\n",
    "    return (data - data.mean()) / data.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    -1.567207\n",
       "1    -0.104398\n",
       "2    -0.827038\n",
       "3     0.246977\n",
       "4     1.272668\n",
       "5     0.753675\n",
       "6     0.368390\n",
       "7     0.312954\n",
       "8    -0.847855\n",
       "9    -0.961890\n",
       "10    1.857520\n",
       "11   -0.637019\n",
       "12    1.369711\n",
       "13   -1.550346\n",
       "14   -0.949259\n",
       "15    0.588676\n",
       "16    0.878379\n",
       "17   -0.548292\n",
       "18   -0.604860\n",
       "19    0.949213\n",
       "Name: score_normalise_mean, dtype: float64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['score_normalise_mean'] = normalise_mean(df['score'])\n",
    "df['score_normalise_mean']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x120b98940>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['score_normalise_mean'].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Normalise by min-max method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def normalise_min_max(data):\n",
    "    return (data - data.max()) / (data.max() - data.min())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    -1.000000\n",
       "1    -0.572868\n",
       "2    -0.783875\n",
       "3    -0.470269\n",
       "4    -0.170773\n",
       "5    -0.322316\n",
       "6    -0.434817\n",
       "7    -0.451004\n",
       "8    -0.789954\n",
       "9    -0.823251\n",
       "10    0.000000\n",
       "11   -0.728391\n",
       "12   -0.142437\n",
       "13   -0.995077\n",
       "14   -0.819563\n",
       "15   -0.370495\n",
       "16   -0.285903\n",
       "17   -0.702483\n",
       "18   -0.719000\n",
       "19   -0.265220\n",
       "Name: score_normalise_min_max, dtype: float64"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['score_normalise_min_max'] = normalise_min_max(df['score'])\n",
    "df['score_normalise_min_max']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x120d4c9e8>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['score_normalise_min_max'].plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Normalise using exp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0     0.838122\n",
       "1     0.989400\n",
       "2     0.911531\n",
       "3     1.029633\n",
       "4     1.156679\n",
       "5     1.090548\n",
       "6     1.043912\n",
       "7     1.037368\n",
       "8     0.909381\n",
       "9     0.897693\n",
       "10    1.236019\n",
       "11    0.931392\n",
       "12    1.169482\n",
       "13    0.839727\n",
       "14    0.898981\n",
       "15    1.070326\n",
       "16    1.106084\n",
       "17    0.940814\n",
       "18    0.934796\n",
       "19    1.115008\n",
       "Name: score_exp, dtype: float64"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['score_exp'] = df['score'].apply(np.exp)\n",
    "df['score_exp']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x12163ca58>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['score_exp'].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Normalise using natural log (base e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0          NaN\n",
       "1          NaN\n",
       "2          NaN\n",
       "3    -3.533505\n",
       "4    -1.927218\n",
       "5    -2.445530\n",
       "6    -3.147136\n",
       "7    -3.305347\n",
       "8          NaN\n",
       "9          NaN\n",
       "10   -1.551661\n",
       "11         NaN\n",
       "12   -1.854311\n",
       "13         NaN\n",
       "14         NaN\n",
       "15   -2.688787\n",
       "16   -2.294358\n",
       "17         NaN\n",
       "18         NaN\n",
       "19   -2.217682\n",
       "Name: score_log_base_e, dtype: float64"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['score_log_base_e'] = df['score'].apply(np.log)\n",
    "df['score_log_base_e']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x12176ea58>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['score_log_base_e'].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Normalise using log (base 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0          NaN\n",
       "1          NaN\n",
       "2          NaN\n",
       "3    -1.534582\n",
       "4    -0.836980\n",
       "5    -1.062080\n",
       "6    -1.366784\n",
       "7    -1.435494\n",
       "8          NaN\n",
       "9          NaN\n",
       "10   -0.673878\n",
       "11         NaN\n",
       "12   -0.805317\n",
       "13         NaN\n",
       "14         NaN\n",
       "15   -1.167725\n",
       "16   -0.996427\n",
       "17         NaN\n",
       "18         NaN\n",
       "19   -0.963127\n",
       "Name: score_log_base_10, dtype: float64"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['score_log_base_10'] = df['score'].apply(np.log10)\n",
    "df['score_log_base_10']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1218aba90>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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mIR0auI5TpfVNitHMxyL1+rebNW7uZmXsztebd6QorlaI62gAAACohvYeKdSUxVv13pJtyisoVrdmkRpzQ3v1TojixioALgolESRJ01KztXXfUU26vbP8/fiPpLxCAv315MAkdWhUW49+8IMGv75Qk+5IUYdGtV1HAwAAQDWxbf9RTZq/RR+nZquopFSDWsfpgT7N1Z7XnAB+IUoiqKCoRK/MzlDH+NoakBzrOk610j85Vp882EP3vLtcN01cohduaMdMLQAAAJTLup2HNX5epr5am6MAPz9d37mB7uvVTM2iw1xHA1DFURJB7y3Zpty8Ar10cwemo3pAUly4Pnuopx6YmqpHP1iltNwjevKKJPkxYwsAAAAXyFqrxZn7NX5uphZu3qfw4ADd17uZ7unRVDERbGsAoGJQEvm4IwVFemPuZvVKiFK35pGu41RbdWsGaeo9l+jZGev0xtxMZezJ10s3d1BYMF+CAAAAOLeSUquv1+VqwrxMrd15WNHhwfrNoJa69dJ4RYQEuo4HoJrhJ1Qf9+aCrTp4rEhPD2zpOkq1FxTgp+eHtVVSXLj+9MUG3TB+sd68I0WN6oa6jgYAAIBKpqCoRNNXZuvN+VuUtf+YmkSG6vlhbTW0YwNuYw/AYyiJfNj+/EK9tWCLrmobp7YNa7mO4xOMMbq7R1M1jw7TqH+s1JBxizTx9s7q0qSu62gAAACoBA4fL9LUpdv0zqIs7csvVLuGtfTGrZ00sHUcN5gB4HGURD5s3HeZOl5UoicGJLmO4nN6J0br01E9dN+7KzT8zaV67ro2urlLvOtYAAAAcGR3XoHeWrhV//h+u/ILi9UrIUoj+3RQt+aR7BsKwGsoiXxU9sFjmrp0m27o3FAtYrgLggvNo8P0zwd76KH3V+o309cqfXe+nrmypQL8/VxHAwAAgJdk7s3XpHlb9MkP2Soptbq6XX3d37uZ2jRgpj8A76Mk8lGvzM6QJD3aP9FxEt9WKzRQ79zVRc99uVFvLdyqzXvy9drwjmxCCAAAUM39sP2gJszL1DcbdivI30+/6hKv+3o1U3wk+1UCcIeSyAdt3nNE01dm667uTdWgdg3XcXxegL+f/ji4tRJjw/XsjHUaOm6RJt/ZRU2jarqOBgAAgApkrdXc9L2aMDdT3289oIiQAI3q20J39WiiqLBg1/EAgJLIF439Jl01Av016rLmrqPgNMMviVez6JoaOTVV141bpHHDO6lnQpTrWAAAACin4pJSfbEmRxPmZWpT7hHFRYTo91e30q+6xissmB/JAFQefEfyMWuyD+mrdbl6pF+CIvltRaVzabNIzRjVU/f+bbnufGeZ/nBtsu7o1sR1LAAAAPwCx0+U6KMVOzRp/hbtPHRcLWLC9MIN7TSkQwMFBbAPJYDKh5LIx7wwM011QgN1X6+mrqPgHOIjQzV9ZHc99sEqPTtjvdJyj+iPg1srkA2tAQAAqoSDR0/ob0u26d0lWTpw9IQ6xdfWH65NVv9WsfLjNvYAKjFKIh+yOHOfFmTs0++uaqVwNkau1MJDAjXpjhS9MDNNE+ZlKnNvvsbf2ll1aga5jgYAAIBz2HnouCYv2KIPlu3Q8aISXd4yRg/0aa4uTepwG3sAVQIlkY+w1mrM12mqVytEt3dr7DoOLoC/n9Fvr2ypxNgw/Xb6Wg0Zt0hv3ZmihNhw19EAAABwmrTcI5o4L1Ofrd4lSRrcvr7u79NcSXG8bgNQtVAS+YhZG3Zr1Y5D+suwtgoJ9HcdBxdhWKeGahxZU/e/l6qhbyzWa7d01GUtY1zHAgAA8HnLsw5o/NxMfbtpj2oE+uv2bo11b69m3EEYQJVlrLWuM5xTSkqKXbFihesYVV5JqdWVr8xXcYnVN4/3VgB721RJuw4d131/W6ENOXl65sqWuq9XM6YtAwAAODA/fa9emZOh1G0HVSc0UHd2b6I7uzVhawAAVYYxJtVam3LmcWYS+YAZq3YqfXe+Xh/ekYKoCqtfu4Y+fqCbRn+0Wv/7r01Ky83X/w5ro+AAZoYBAAB405rsQ8o9XKA/Xpusm7o0UmgQP1YBqB6YSVTNnSgu1eVj56pWjUB9/lBP7qZQDZSWWr0yJ0OvzMlQ58Z1NOG2zooOD3YdCwAAwGcUFJXI389w91kAVda5ZhKV67uaMeZGY8x6Y0ypMeYnn7zsnEbGmO+MMRvKzn20PNfExXl/2XZlHzyupwYmURBVE35+Ro8PSNS44Z20ftdhDXl9odbvOuw6FgAAgM8ICfSnIAJQLZX3O9s6ScMkzf+Zc4oljbbWJku6VNIoY0xyOa+LC3DsRLFe+3azujatqz6J0a7joIJd3a6epj3QXaVWumH8En29Lsd1JAAAAABAFVaukshau9Fam3aec3KstSvLHh+RtFFSg/JcFxfmnUVZ2pdfqN8MSmKD42qqTYNa+uyhHkqKC9cDU1fqtTkZqsxLSAEAAAAAlZdX50gaY5pI6ijpe29e1xcdOnZCE+Zlql/LGHVuXNd1HHhQTESIPhhxqYZ2bKCxs9L1yAerdPxEietYAAAAAIAq5rzb8BtjZkuKO8u7fmetnXGhFzLGhEmaLukxa23ez5w3QtIISYqPj7/QT48zTJi3RfmFxXpyYJLrKPCCkEB/vXhTeyXGhmvMzE3K2ndUb96RorhaIa6jAQAAAACqiPPOJLLW9rfWtjnLn4spiAJ1siD6u7X2k/Ncb5K1NsVamxIdzT46v8SevAJNWbxVg9vXV6t6Ea7jwEuMMRrZt7km3Z6iLXvzNfj1hVq145DrWAAAAACAKsLjy83Myc1w3pK00Vr7oqevB+nVbzNUXGL1xIBE11HgwIDkWE1/sLuCAvx008QlmrFqp+tIAAAAAIAqoFwlkTFmqDEmW1I3SV8aY2aWHa9vjPlX2Wk9JN0u6XJjzKqyP1eVKzXOadv+o/pg2Q79qmsjNY6s6ToOHGkZF6EZo3qoQ6PaevSDVXph5iaVlrKhNQAAAADg3M67J9HPsdb+U9I/z3J8l6Sryh4vlMSttbzkpVnpCvA3euTyBNdR4FhkWLCm3nOJnp2xTuO+y1T67ny9fHMH1Qwu15c9AAAAAKCa8urdzeBZG3PyNGP1Lt3VvaliItiwGFJQgJ+eH9ZWf7g2WXM27tb14xcr++Ax17EAAAAAAJUQJVE18teZaQoLDtDIPs1dR0ElYozR3T2aasrdXbXz0HENeX2RlmcdcB0LAAAAAFDJUBJVEyuyDmjOpj16oE9z1QoNdB0HlVDvxGh9OqqHImoEavibS/XR8h2uIwEAAAAAKhFKomrAWqsxM9MUFRasu3s0cR0HlVjz6DB9+mAPXdI0Uk9PX6PnvtigEja0BgAAAACIkqhamJe+V8u2HtDDl7dQaBCbEuPn1QoN1JS7u+iu7k00eeFW/XrKcuUVFLmOBQAAAABwjJKoiisttXphZpoa1qmhW7rGu46DKiLA309/HNxa/zu0rRZt3qeh4xZp676jrmMBAAAAAByiJKri/rUuR+t35enx/okKCmA4cXGGXxKv9+65RPuPntB14xZp0eZ9riMBAAAAAByhVajCiktK9eI36UqMDdN1HRu4joMqqlvzSH02qqdiI4J1x9vL9N6SLNeRAAAAAAAOUBJVYdNSs7Vl31GNviJJ/n7GdRxUYfGRoZo+srv6Jkbrv2as1+8/XauiklLXsQAAAAAAXkRJVEUVFJXolTkZ6tCotq5IjnUdB9VAeEigJt2Rovv7NNPUpdt1x1vLdPDoCdexAAAAAABeQklURU1duk05hwv09KAkGcMsIlQMfz+jZ65spbE3tlfqtoO67o1Fyth9xHUsAAAAAIAXUBJVQUcKijTuu83qlRCl7s2jXMdBNXR954Z6f8SlOlpYoqFvLNZ3m/a4jgQAAAAA8DBKoipo8oKtOnisSE8NTHIdBdVY58Z1NOOhHoqvG6pfv7tcb87fImut61gAAAAAAA+hJKpi9ucXavKCLbqyTZzaNaztOg6quQa1a2jayG4a1DpOf/7XRj01bY0Ki0tcxwIAAAAAeAAlURUz7rtMHS8q0egrEl1HgY8IDQrQuOGd9Ei/BE1LzdbwN7/X3iOFrmMBAAAAACoYJVEVsvPQcU1duk3Xd2qoFjHhruPAh/j5GT0xIFGvD++o9bsO67pxi7RhV57rWAAAAACACkRJVIW8MjtdkvTYAGYRwY1r2tXXx/d3V0mp1fXjF+vrdbmuIwEAAAAAKgglURWxeU++pqVm69ZL49Wgdg3XceDD2jaspc8e6qHEuHA9MDVVr83JYENrAAAAAKgGKImqiBdnpSkk0F+jLmvhOgqgmIgQfTjiUl3Xob7GzkrXIx+sUkERG1oDAAAAQFVGSVQFrM0+rH+tzdW9PZsqKizYdRxAkhQS6K+Xbu6gpwcl6Ys1u3TTxCXKPVzgOhYAAAAA4BeiJKoCxszcpNqhgbq3dzPXUYAfMcbowb4tNPG2ztq8J1+DX1+oVTsOuY4FAAAAAPgFKIkquSWZ+7UgY59G9W2hiJBA13GAs7qidZw+ebC7ggL8dPPEJZqxaqfrSAAAAACAi0RJVIlZazVm5ibFRYTo9m6NXccBflbLuAjNGNVD7RvW1qMfrNKYrzdpd14Bm1oDAAAAQBUR4DoAzm32xj36YfshPT+srUIC/V3HAc4rMixYU++9RP/16Tq9MTdTb8zNVGTNICXXj1CrehFKrheh5PoRahZVUwH+dNQAAAAAUJlQElVSJaVWL8zcpKZRNXVj54au4wAXLCjAT3+5vq1u6tJIa7IPaWNOnjbk5GnKoiydKCk9dU7LuHC1ijtZGiXXj1DLuHCFs6QSAAAAAJyhJKqkZqzaqfTd+Xrtlo7MuECVY4xR58Z11LlxnVPHikpKlbk3Xxt25Z0qjr7ZkKsPV+w4dU7jyND/FEdls47q1QqRMcbFXwMAAAAAfEq5SiJjzI2S/iiplaSu1toVP3Ouv6QVknZaa68pz3WruxPFpXppdrqS60Xo6rb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      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['score_log_base_10'].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparing all Normalise actions together (mean, min-max, scikitlearn normalize, exp, log base e, log base 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['score', 'score_min_removed', 'score_mean_removed',\n",
       "       'score_sklearn_normalize', 'score_normalise_mean',\n",
       "       'score_normalise_min_max', 'score_log_base_e', 'score_log_base_10'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1219ef780>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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WLS5btrhcB553ujDcSQKm57wreZ1TP/BJnk/De1BFIkRbWvTf0f476enmJFHUhNncgtnUhGVHc/TEyMjoLYoK8nEW2MIoPtbDWI6MHE0opbT4TInWaSTa2GAvS0TqmM3NqULfxpGZiXOCLXEKC7XYmVCkPzOFetpVVISzsHDc/F9HJAXMMIxy4DkRQKMXZZqYbW2YLS3anra06A9cS2t8mdnSgopEMDIydO2TDB8OXwaOjIzEdGaGndaSgSPDp7eNb5807fONi3opyjSxOjsTwiYucjp0xE1PgRMXOQnBc8CUJLdbCxt/Nk5/jh5n+/u/MfX7Ezemfv/I1R9QCra8oLt0b9gEpYthybdgxpL0d+FumfoJbdUqPexcC2YIHG6YcjzMOEMLobKjwDH237f9EQsn14IoHJdCVpJMIiaMTFP/z5XSgkuR9MOseqyz12Ov72tdv/sOcJ1S8fX7O26f6+x9VdTUn9/kSLk2/TmOTR8omsuRlZUiV525MTmUNN2XRBrJz+o4wgoGCVVWptTpCW3dqiNDbBw5OSmSR0djzMKZmzvwE33wKDx5i+7N8JT/N+SvY8DUb9aRKBMXwA3PgWvg7yllmkT27CFUpesLhaoqtSSqrMRMeppqeL14Kip0faGKJDlUXo4jI2Pg51MKq60tXncnWezEZE/Pp7iGx5Mkd3oInrIyXMXFh37tUbkC/vYJKJ4Hn3wGMg4yAioahvvPgEAz3L4GMvIHtJvZ0aGlkC2Gwtu3E9y2LbWWVHa2HSk0MyVqyFlUJGJoBNG1D7ttcZMUkRMbJ0frNDdjtbf3eRzD59PpTEWF+gY1HqlSqAVP0jJnbu6YiEgYKaxAQAuiJFFkNjclxrYoijY3YzY1pUjvZBx+f1wUOQvyE2lpPUSRq7AQZ17euLjnGSixGqEJqRNLu7JFTnK0TnNznw8fDY9HS5uUaJ0i/ZmJRexMKMJVWCjRXX0wKgSQYRi3ArcCTJ069eiampohOe94RVmWlgcxkROTOK0tvZfFhvb2Pq0paCvuzM/DlZeP4XbrtJVAACsQ0GkvgUC/X5D7w/B6E2LI58PIzNDiKFkWZfgwfD2nfVo6xSSTz4cjIzOxPjNJMg3yR9EKhXSaVEenFjbJAicucmKROO2YnZ0p4+ReXfrDkZlp3wBm44gJnKSxM8ePI9uvx36/LXsS04cUhTPS7HgNlt8Fu9+Gwpk61WveJYnuckcb4W7YtVanilWtgn0f6OW+XCg/FWacqYVQwfT0yythVGEFg5htsZpYOq2yV3plW3IaZqJ2lgoE9ntsIyOjj8ijpDpZyUIpNzcReZSb23dUyjhCmSbhmp1xwROTPeGdO+NP1Q2PB8/MGfhm2cWYbdkz6ALJbbvh3pN0N+yfejH9EnnDE/D4TXD8Z+CjPxqSQ0ZbWuIpZOHKRBHq5LQmDAN3WVmi+LQthxxeb5LY2ZMS0dPzab2RmYm7rDQudDw90rSchYXDczNc/To89HH9nX/jc4fepfve97SAW3QVXHbfoJoUbWkhnCSGYillZmtrfBtnbi7eWbPw9BBDrvyBySchkXoVizBISb1KidbRokeFQn0ex5Gbq6MPCgvtNCRbGBTaaSYFBfrGtaAAR9bwRx4LB0YppR/iDkAURZubMVta+o7SMgyc+fm9RJGzID9JDsXz2PWkYSR+d5LT5PtLlU8s7Dsl/kDH75ESH1/fZxsOfHyroyMp7SpWXyeprk5f2QmxaLYJRQmJU1iYiNBJEj0Ov39k7322/RM2PAmX3DN6710OglEhgJKRCKBU4pY0Sdb0EjitPZa1tfUqWhjDcLu1lc7L019G+Xk65DEv355PWpavv5gG8sRORaNxGWQFg1jdAVQwgBUIYgUDtjCKTQexAknrAz227baPkbStFQweUvqJ4fXaEUpJUUsZmSkRTIbHo3ur6kPkHFBsOZ12RE0OzuzsFJETHycLnJ4iJzt7bKeE7H0Xln9bPznNmQSnfxWOvBach9lr7mpMqh+0Ctp26uW5U+x0MXvIKkpP+4QxgRUOJ2p0tfXoJa+9H4nU0Y7VdmDZbHg8qdIoSSIZHg+GI3Yh59BjR+zizwH2On1jbeiLH4P9zyfv3/N4yfPxfezjx7fhAPOGbnPy/rHjGQZWZ6e+Id66leC2rYQrqxI3Zg6H7qJ71qykWj2zh6fwrmXBXy6F3evgP17XAmE08NLXYO29cPkfYOHHh+00VihEuLrGTiXTEUOhHVWEd1T3KTwdOTl91N/RxZXdk8r0zdJIS/ddb8FfLtMpcze+ANkTBne8Fd/Vte+ueRRmnzc0bbRRSmE2NSV6n9ueqDOUnL7oLCrS0UIzZ6WMD7b3udGOUioRpZrU2YMKh/UQCtk9/NipV42xG/pDTL2KR+gUpsqe/HyJ4BwHxDpO0TIwWRg1p9QtitVp6rd+0RjDmZ+fSLsqTIrYmaDTrmLROs68vNEXzaYUvPZ/+nt74gL45LOH/gBgFCECaARRSqECAVvipEblmK2tfUbmRFtb+xcfTqf+UOXn9S9wkuSOKz8PIzNz9EeL9IOKRLQYCgTsXp6CqEB36rLugBZHydOBoL1Nd3w6JYIpHMaRnaXTpnL8ibHff0CBY2RkHLZ/z2GlYSus/C5sfAYyCuDU/4Jjbwa3L90tGzxKQXOVXTtoFex4FYL2j/jEhXYx6TNg6okDKw4qCEOAika1wG5LRB6Z7W1abMem+5FIKhLR72vL0kl4lhWfP9xxFRcnRE9M9sycgcM3Qt9F/7ofXvwyXPRzOOamkTnnQDAj8OelOvX15uVQMn9ET68sSxfUrqxCRSK25CkbfQJiz3p48BIt9298AXJKB3/MaMhOBWuB29cefCrZIaCUIlpX16vwdKiyMt7DDdh1rWbOTK0xNGPGIadQqGhUS5YkAaPC4URvnslCxl5mhUJ2hwoxURPS28cETjik05CT50NJQiectH8/0Tj9YWRkpEbmSOpV+ogE9LVW03Z7qNQC/eQvgNOd7tYNCSoc1r/BlhXPgE9OZdezsfR0e13SsuTt4mnvfWwTv59XfR8/sS8p6fJ9b9NHG5LPb+/v8Pu12CnQ2SOHJaFOePo/YNOzsODjcPGvxsx1vQigYcDs6KDhF79Mis5JSJ1+f4wMIykqZz+ROUnbjHj4myAciLbdsOqH8N5fwZ0JJ34WTvwc+HLS3bLhwzJ1WH9MCO1cC1YEnF6YenyioHTp4vSnfgjCQRKviWRLoV7zln2xGJ+3pZFlaaGUfJE44GMoUEnHU8Tn+zqmUgpS9lE4fF48M2akN9WlcRv85lQoPwWufWz0pYt27NPt8+XALSvH9vf0obBvA/zpQv13+dSLkDt56I6991343RJYfDVces/QHfcgUZZFZO/eRAqZXXg6XFmZUs/MPXky3pkzcWRl9SlpekoXy46w6S8a/WAwvF49eDw4PJ7EvNeDw91j3qO3i897vRjxZfZ8fJlbz2dkSOpVurBMaN2p5U5c9NhD226SrIjuPbGrASYfqyMX86elrdnCOKCpEv5+HTRshnO+o+9nRttv+CAYiV7AHgbOAIqAOuAOpdQf+tt+TAigzi62L1mSImt6pVylROfk6R6VpECYcLjS1Qiv/Qze/j2gdLTPqf81PlOiwl1QsyYhhOo26OUZ+VBxWiJdbLSkggiCMPSYUfjjufoJ9u1rwT8x3S3qm+o3dCTQ3Avgyr+MqQvcQdGwBR64AJweuOlFyC8f+nMs/w689lPdlfysc4b++INAmSbhnTtTCk+HtleiQqGDFy6emHRxpwqY+HpPQvAkyR7D69W9TMl78vBGKX2N2LQdmrYlonmatuvvRzOp4wRvjq4TGR9mJMZev65ftuyLgAEX3w1HXJq2lyWMYba9Ak/cpNPNP/6Arvs5xhiRCKCDYSwIIEEYNwTbYc09sObXEOmGxdfAGV+FvKnpbtnoobNep4lVrtRSqH2PXp43LSGDphynayTJha4gjA1W/xhWfk9fPC74WLpbs3/e/DX84xtwzrd1esV4p6lSyx9l6cifopnDc55oCH57uk4hvn3NiKSCCcKwEeqE5sqE4GlMkj2hpFo3Drd+AFY4U3+2koVP1oQDXwc179BF7Peu12m1530f3APvXVAQ+kUpeP1nWs6XLIBPPDQ88n8UIAJIEISDJxKEdX/QhdG6m2Dexbpnrwlz0t2y0Y1S+oKoapUWQtWvQcjuBjazCMqOhNIjdbpY2ZG6yLRIIUE4vNj7Lvz+bDjiMrj89+luzYFRCh67ATYt092bV5yW7halj5ZqLX+iQbjxed3l+3CyZ71+rxx5te5dRhBGM2ZEp2zF5U7S0FGbum3ulKQInplQOEvP504ZfEcg0TCs+A68eTcUz9eivXju4I4pjG9CnfDM7bp26Rir99MXIoAEQRg4ZhTe/xus+hG079bRK0u+BZOOTnfLDk/MqC7Cune9riNU+x7UbwJl103IKOgthfKmiRQShNFKJKCjOkLtdlTHYdLddqhDd08eaIHbXtU9Xo032vbAAx+FYCvc8ByULhqZ8y7/tn6Ycu0TMOvskTmnIPSHUro+WE/B07RdC1Irmtg2I98WOzNTZU/B9JG5ed72Cjx1m069v+DHcNT1cn0kHDwp9X6+rWuXjvH3kQggQRAOjFLaiq/4rs7hnnQ0LLkDpp+e7paNPSIBqNsIte+mSqHYRVdGvpZBpYu1GCo7EvIrxvyPlSAcFrz0dVh7D1z3JMxcku7WHBwNW+D+M6HkCB394hpH3VZ37NORP531cMMzI/tQIxqC356mJdzta8CXO3LnFsYvwbbUejxN2+3InkqIdCW2c/mgYEbvdK3CmaOjO+yOffDkLTrVfsHlcNEvpKC9MHDGQb2fvhABJAhC/ygFlSv0E8ra92DCXDjrmzD3QhEOI0kkCPUb9f8gJoXqNurexkDfMKRIoaO0FJIuagVh5Njxqi6ofOwtcOFP092aQ2PDk/D4p+C42/QT9fFAV6Pu7at1F1z/JEw9YeTbsOcdOxXsWrjk1yN/fmFsEg3pqJ2UlC1b+HTVJ7YzHLp2Y0/BUzhT1ycc7dcSlqlrt6z8AeRNgY//USLThf0zjur99IUIIEEQ+mbX27D8Ll2nJncqnPk1WHSVdGU+WoiGbCn0fpIU+neiRw1vTu9IoYIZo/9CThAOR4JtcN/Juteoz7wGnsO4O+lYFNPHfgeLrkx3a4aX7mb488U6svXax6Hi1PS15ZU74fWfw3VPwExJBRMOkdZd8PLXYd8Hul6PshLrsop7p2sVzdI3vi5v2po8ZOxcC49/Gjr3wdl3wgmflWseoTfjrN5PX4gAEgQhlbqNOtVry/O6MPHpX4GjbxwbFwdjnWgYGjalSqF9G8AM6fUev65rkSyFCmeK1BOEwfL07fD+w3DTP2DKseluzeAwIzqSqfZ9uHk5lMxPd4uGh2AbPHgp1G2Aqx9Jf8peJAj3ny6pYMKhU7VaR/CZEZh1Tu/u1MfDe6q7GZ79T9j8HMw6Fy69D7KK0t0qYbTQXAWPXDuu6v30hQggQRA0LdU6fPaDv4PXDyd9Hk74D/Bmp7tlwmAwI/qHLkUKfah7uQFwZ/WWQkWzRQoJwkDZ9Bz8/Vo47cu6N8SxQMc+XZfGkw23rhx7N46hTnjoYzr16qqHYM5H090ize534A9n62K2F9+d7tYIhwtKwZu/glfu0L/fV/1V1+wZrygFb/9eR0JlFMDlvxvfvRsKmpR6P3+EGWelu0VpQwSQIIx3Ouvh1Z/Augf0Tf9xt8Ip/290FPcThgczCo1bekuhSLde786EiQt7SKE5g++6VRDGGp0NcO8Jutesm5ePrcLJNW/Cny7ScuSqh8bOU9JwN/ztSv36rngA5l+S7hal8s874I1fHJ6FxIWRJ9QJz34O/v2Ufi9fco9+iCdA7Qfw+E265tFpX4bTvyrXMeMRpXR67fJv604OPvHXcVXvpy9EAAnCeCXQCm/eDWvv0/VkPnK9/nEcj93/CrqIYuPWVClU+0GiNxCXTxfKi3VLX3akLgrudKe33YKQLpTSoeTbX4HbVkPxvGE7VTBisr6mhekTspmY6xu28/RizT36KfrZd+oHA4c7kSA8cjVUrrRrHF2R7hb1JhKE38sJ9voAACAASURBVJ6qRdXta6RHI6F/kruvXnIHnPyFsSNqh4pQJ7z4FXjvrzD1RLj895A7Od2tEkaKUCc881nY+LTuJe7iXx3eNfqGCBFAgjDeCHfDW/drGx5s1V+IZ35D54gLQjKWqZ+c9ZRC4Q693unVT1NSpNC8sRUFIQj98e5fdSHJc78HJ31uyA8fjJis2tLACx/WsnxTHV1hE4D5pTksmVfMmXOLWTw5D6djGG/4lNI1RTY+A9c/DdNPH75zDTfRMDz6Sdj6Ilz8a/3QY7Syex384Rz4yCdh6S/T3RphNLL1ZXjiFl3keJynswyI9/8Oz38JHC649F7dm60wtkmu93P2XXDSf4ogtREBJAjjBTMC6x+E1T/WPSTMPAeWfFOn+QjCQLEsaK60pdC7elz7PoTa9XqnB4rnQ0GFjhpyevTY5dHCKGXaHuLbxKZjy709pj2JY8qPuJBOWnfCvSfp788blg1ZTzN9SZ/8TDfnL5jIWXNLqGzoZMXmet6pacG0FIVZHk6fM4Gz5hZz2uwJ5PiGISIv1AG/O0sXV73tVcidNPTnGG7MqBZZm56FC/8Pjr053S06MP/8FrzxSy3eZpyZ7tYIowXL0mn7q36gU7Wvegjyp6W7VYcHTZX6e6D2fTjuNjj3O9LByVhF6v3sFxFAgjDWsSzY8ASs/B607IApJ8DZd8C0k9LdMmGsYFn6vVX7XiJSqH2vfuJuhnSKoRnWhaeTu6QdDM4kGdRTEvUSRz1FU18yqufx+jh2Rp6kSAr6/f7gxfq9/h9vDPrma3/S54KFpZw4vRCXM1UwtXVHWL2tgRWb6li1tYHW7gguh8Ex5fksmVvCmXOLmTEhC2OoRGnDFi2BiufBjS8cXlF+lglP3QYfPgbnfR9O/Oywnq4jGGFnczdzSvy9/m8HRSwVLBLQqWBS10UItsGTt+kotkWfgKW/AHdGult1eBEN6Tpb/7oPJi6Cjz8wvgtmjzWk3s+AEAEkCGMVpWDbP2D5d6DuQ12/Zcm3dLeYh0H0RFsgwp6WAHtaA+xp6WZPa4C2QIRsr5ucDBd+n5scn4ucDDc5Pjd+n4tcezrb5xretAjh0DGjCSkUDfWYtiVRynS4j+3tdWa4n+P0sU1f5zkUGbXwCjjnO5BTOvR/G+HwIFYX55J74KjrDukQMenz/Ie1rOghfS5cWMYJ0wsGLA9MS/HuzhZWbK5nxeZ6Nu/TKZrTCjM5c04xS+YVc1xFAV7XIHv2+/fT8NgNcOwtcOFPB3eskcKyYNl/wrsP6d+/U/9ryE9R3x7k7eoW3q5u5q0dzWze146loCjbw4ULS1m6uIyPTM3HcSi/Sbvehj+eCx+5Qd/sC+OX+k06naW1Bs77ARx3y2FxLTdq2fyCTuGNhuGin8HiT6S7RcJgSa73c8TH4JJfS72ffhABJAhjkZo1sPwu2LlGm+8z/1fX+hmiNIXBopSioTOUJHh6jztC0ZR9vC4HeZluukImnT3W9UW210WOzxZFGa64JIoJo4RE6i2U/D7X4G+WhNHPQcmokA4bX3OPLnx9xv/A8Z+RItjjjfrNunv0mUvgE387qBuwoZQ++2NPa4AVm+tZubmeN7Y3EopaZHqcnDKzSNcOmlNMcc4hFpJ++Ruw5td2AeUrB93WYUUpeP6/YN0fdAcHZ359CA6p2NHYxbrqFt6qbubt6mZqmnTviRluJ0dNzeOY8gKmFmSyYnMdyzfVE4paTMrL4KJFWgYdUZZzcJFZ//hf3cW3pIKNX/79NDx9u76ZvfLPEsE9VLTtgSduhp1vwuKr4YKfgjc73a0SDoWUej93wkmfF0G6H0QACcJYonE7vHIHbH4OsifC6V/RRSRH+CY1alrsaw+mCJ3dsWl7CEdToy/8PheT8jKYnJ/BpLwMJuVnMCkvU8/nZ1CY5YlfNJuWojMYpT0YoS0QocOebk+Z1uOOlOnEdtYBvt68LkdcBmlJ5O4llHpGICXLpQy3c+jSL4TRQ1MlvPQ/Orpuwly44CdQcVq6WyWMBNEw/OFsfdNw+xrILj7gLlr61PP8h/vi0qcgy8N5R0zkwoWlQyZ9+iMQNllT1aijgzbVs7ctCMDCSbmcObeYs+YWs2hS7sCjU8wI/PliXf/rluU6xH40opSO0lp7r+4Z6ey7DulmIGpabKrt4K3qZtZVN/N2dQuNnSEA8jPdHFNewHHlBRxTns+CSbm4e/wvO0NRXtlYx7Pv7+XVrQ1ELUVFURZLF5Vy8ZFlzCweQFpXJAC/OVVL6NvflFSw8YRl6lSWN34Bk4+FKx8cN2nISikipiIYNQlGTEIRi2yvi/ysIU4/NaO6ptKrP4b8CrjiAamNebix/RV4/NN6+ooHhqzej1KKuvYQm2rb2VjbTn17kLsuWTAkx043IoAEYSzQ1QirfwTr/qhrl5z8RV3nwJM5LKcLRsx+I3f2tAbY1x7E7GFYirK9TMrPYHJc7iSJnvyM4Sle2g9KKbrCZg85lJjuSyS1B6N0BCLxZWFz/+lDToeRElGU4+stimLT2V4nGR4XWR4nmR4XmR4nmV4nWR4tkg4pdUAYPpSCrS/Bi1/V4fhHfAzO+964uTAft6z4nr5JuOohmLe0382Spc/yTXV0j7D06Q+lFFvqOli+SUcHrd/ZYqcqeTljzgSWzC3mlFlF+A/0XdxRp6OgPJlw6yrw5Y5E8weOUvqm+fWf6Si98384YPkTjJi8u7OVt+3onvU1LfHe1ybnZ3BseQHHlhdwXEU+04uyD+q7ubU7zEsb9vHs+3tZU9WEUjB3op+li8u4eHEZUwr283u96y34w7lwzE06XUUY+3Q364LFVav0//38H6atYLFSilDUIhSxCEbN+DgYMQlGLEJRPdbzJqGo1ec4tn3KsqhFqI9tQlGzzwd1RdkeZhX7mV2SzeyJfmaX+Jld7Cc3c5DXkDtegydvge4mOPe7cNytEkEy2lFKy9Hl39adj1z1kO6A5BAIRy221XewqbaDTbXt8aGlOxLfZkpBBq986fQxkSEgAkgQDmciAVh7ny54Fu6Co2+AM742oCfT+6Ov+jvJgqexM5yyvdNhMDHH11vw2OOyvAx87sP/CzOZYMRMRBUFbEHUr0TqLZS67ZuKgZDhdpLldZLhsaWQPc70OG1ZpOVRXCJ5XWTa+8SFkseVegwRS4MnEtC99Lz+czCcOuLuhNsPrwK5wsDYvU7fgC+6Ci67r9fq0Sp99kdLV5jVWxtYvrme1VvqaQ9GcTsNjqsosGsHlVBR1E/9hJo18OeLYNZ5+qJ7lKQXA7qny5Xfg6NvhIt+sd+buNbuMOti9Xuqm9mwp42IqTAMmFPi55jyfFv4FFCaO3TFduvbg7zwYS3LPqjlnZoWAI6cksfSxWVctKiUkr5S9GLpd598FqafPmRtEUYhe9+Dv1+ve2y98GfwkesHtJtSij2tAbbVddIejNjSJknOpMibHpJmP3InFLU41FtCwwCfy4nP7cBrj31uJ163E69LT/ti4x7b+OxtvPY2bYEIW/Z1sLW+k+11HXE5C1Ds9zK7xM+skmzmlPiZZU8f1MPFriZ4+j9g28sw50JdQyaz4NBeuDC8DKLeT2NnKEnyaOGzvb6TqG0cfW4Hc0r8zCvNiQ9zS/0j+qB6uBEBJAiHI5YFHz6qCzy374bZH4Vz7oIJcw6466HW34nJnJ4pWpPyMyjxe0fdzc1oJ2Ja8TS2rpBJdzhKdzgx7gqbdIcSy7rCJoGwSVeo53ZRe7lJIDJwqQQJsZSZJJOyvC57eUw0JUclxaKUkoSS25VyjHEplpp3wEtf0z2zFM2Gj/5YanWMJcLddm9MQZ2CY0e8xKTPcx/UsmJz/WEhffojalq8U9PCii06OmhrXScAFUVZnGWnih1bXoDHlfR61twLL38NltwBp34pTS3vweu/0GnQi6/RRbp7iKk9rQHe3tEcj/CJvU6302DR5Dw7wiefY6YVDD6iYIDsau7m+Q9rWfb+Xv69tx3DgOMrCli6uIyPLiilIJbyEgnAb07RqYiSCjZ2ee9heO6LkFkIV/0FJh3d52bd4Shb9nWweZ++gd1c28Gmfe10BPuvkeh0GPiShEqqiInJmAPIGrcDn8uJ1x73JW68sbHLgcfpGJZ0eMtS7G3TsmtrXQdb6jrYVtfJ9vrOlGuh0lwfs0r8zC5ORAzNKs4my+vq+8BK6Qer//yWfph6+e+l5tJoo7kKHrkOGjbtt95P1LSoauyKp3DFZE9DRyi+zcQcH/NKU2VPRVHWmO9IZtgFkGEY5wO/BJzA75VSP9zf9iKABOEAVK3WRSH3fQClR+pQ1YpT46tNS1HbFhiS+jsx6VOU7ZF6NocBlqUIRFKlULJY6gqZdEe0WNJCKdpDNA2NWMr0OPG4HDgMAwMwDAOHoX+fHYahl/ecJzGfGOvlDge9jpU4hn1sjPh2EDtu8rntYxl6OwMj6fz2eiNxnth2kDif2+mgLM/HtMIsphVmMrUgMzWybevL8OJXoKUa5l+iu5zOnTwE/1khrbzwZXjrfvjkswSnnDJmpM/+2NXczcot9SzfVM+aqibCUV1/49RZRZw5VxeSnpDtgcdv0k9gr38Kpp+R3kav/Q289FX9NPjy32PhYHtDJ2/ZwmdddQt7WgOA7iTgI9PyOc6O8Fk8JW9URKlur+/kuQ/28uz7e6lq6MLlMDhlVhFLF5Vx7hEl+OvfgT+eD8d+Gi78v3Q3VxhKzIiuW/XW/VB+qu6ePHsCSil2twQSomefvpGtbuqKR+Vke13Mnehnrn0jO6fET16mJyFkbHnTs0bVWMSy9N9ra10HW+u1FNqyr4PKhk5CSde+k/IydBpZiT8+zCzOJsNjfw/sWa+/31pr4Iyva8ntSP93xLinn3o/bd0RW/LYw752ttZ1xu93PE4HM4uzbcnjZ35pDnNLcxKCfZwxrALIMAwnsBU4B9gNvA1crZTa2N8+IoAEoR/qN+snEttexvRPpuao/+b9vCXsbgmxq6Wb3S0BdrV0U9sajIcxxhhN9XeEw49ksdQdMntEJfUtlmIh45ZSKHTkmWUl5i2lUMpe3sd2Cr1c2dtZSdth77+/7eLHii/vOW+fP3aseHtI2UZ/lPQ4GDF7pe5NzPExtTCTaQWZTCvMpDzPxdG7H2TiB/diGA447b/hxM+lrXaDMEgqV8BfLmPHzBv4P8eNvaTPRYtKOb5ibEif/ugOR3lje5PdzXwdde366eniybmcN8vPTZs+jTfcgnHb6vQJz3UPwHNfpHXquTxW8R3+tbODdTUttNr1G4qyvRxXkR+v4TOvNGdUP+FVSrGxtp1l7+vIoD2tATwuB2fNKeYrxp+Zvv3PcMMyKUA/Vuiog8dugJ1rqD/iZpZP/iyb6rvjkT3JUdnlhZnMnZhIS5lfmsOkvIzxF3l7kJiWYmdzN1vrOthW18FWO3KoqqErXtPRMGBKfiazS7KZVeLniAKDU7Z+n7ztT2sp97HfQU5pml/JOMWu96OWf5twwRzeOOZu1rfnxoVPrIMD0HWiEhE9WorOmJA9LgToQBluAXQicKdS6jx7/msASqkf9LePCCBhvKOUorEzHJc6Tft2Mn/LPRzb/BzdZHCPeSl/jJxDiIS1LvZ7mZyfweT8TKYU6PHkMVx/RxDSgVKKlu4INU1d7GzupqZJDzubu6hp6qY+Kax4stHAXd6HWMLb1Lmn8OrM/0ZNX6JlUWEmJX6fXLCPYgJhk9c/3MYxL15Ic8TDBaHvk5WVnTbps7tjN6/UvMLsgtkcP/F4nGl6Eh0TEys21bNiSz3v7WplOnt41vtNmjKms+n8v3Py3DKy+0uvGEI6Q1HW17TQ/daDnLv9O7yqjuTW0BcJ46aiKEunctm9dE0rzDxso1iVUqzf2cqy9/fy/Ie1dHS085L362R7YMPSFzhpfnlqap4w6olF9Wyqbad16xucu+HL+MwOvhK5lWdNnW4Ui+qJiZ5YZE+/qUvCIRE1LaqbuhNSqF4LoqqGLvthquJK52rucv+ZqMPHP2bfhWvuucyZ6KeiKGtMFAQerXSGomyubWfbrn0cse7rLGpbyYvWiXwpfAsBfDgdBjMmZKWkb80r9VPs76OGmpDCcAugjwPnK6VutuevB45XSn2ux3a3ArcCTJ069eiamppBnVcYPBHTorqxiy11HWy1c4y31nXQEYxSmO2hMMtLYbaHomwvhVkeCrO9FGR5KMrW04XZHvxe12F7wTWcKKVo7Y4konaaE9E7u1sC7G7pJhixyCDILc4XuM21DK8R5UXfhbw26SbyiyYyxRY8UwoymSSCRxBGBYGwaYshLYRqmrvI2b2aa5p+zWRVy4vmsXw3ch17mIDX5WBKgY4cmlqYSXlhVjySaHJ+ptzQpYFAOFbIWad3fU/dzUXOtdw/67ccefyZIy59lFKsqV3Dw5sfZvWu1egYOSjJLOHiGRdz8YyLKc8tH7H29EVTZ4hVWxpoWfcYN9feyYPRc/iu+jTHTy+I1w6aVjiwwpwHoqEjxDq7WPO66hY21rZzAW/wC/c9fOBZzPMLfs5HppdyTHn+mL0BMC3Fv6qa+GDNS9xa+Tn+Ej2bn7lv5aMLJrJ0cRknTC8c1ZFN45HucJTN+zp0jR47hUtH9US4xrmCO11/osFRxAOTv4t/2lHxiIXJ+RlyDZ1GwlGL6qYunUpW10nHrg1ct/suZljV3B+9kJ9Er8JyuCkvzLSLT+ueyeaU+CkvypJok4MgJkRTUrhqO9jZ3M1Uo47fun/GbMduHvHfxPZZNzGvLJf5pTnMLM6W+59DZFQIoGT6igCKRCLs3r2bYDDYz17CoaIUmMoiaioipkXEHkctFc8tNgCXU9e/MAydDhJLxTAt1Wc3jaBDKZ2xeh0OXefD6UjU03DayxwOA6ddg+Nww+fzMXnyZNzu1BSq9mAkIXaaE2InNt/VI40kN8OthU5+JlPyPJwR+CfHVN2HN1hPdM5SXOfeBYUzRvKlCYIwVERDmG/cjfHaT1EKPpx+My/nXkFlczQeSZRcZ8lhQGluBtPsaKGpBYmaQ9MKMw/cTbcwYGLS57kPa1mZlN7135M3ck3NtzBP/xrOM/9nRNvUFenime3P8PDmh6lur6bAV8Dlsy7n0pmXsrF5I89sf4Y3976JpSyOnHAkl8y8hPPKz8PvSW9RYPPlb+Bc82ueqbiDuxs/QmVDFwAzJsQKSZdwTHn+gG6MlNLpGsn1e6oa9fG8LgdHTsnjmpz3uXjr1zEnHYvrk08OuAeYsYL5wv/gfOs+fj31F9xXXUpX2KQo28tFi0pZuriUo6bkS5ThCJIc1bOptsOu1dNOTXN3/Hra73Uxt9TPgmIv1zX/ihm7nyI6/WxcV/weMvLT+wKEAxMJYL70DZzv/IGWvAU8XvFt3m7LZVt9JzVNXfH7IbfToKIoyy4+7Y+nlJUXZo7pdOGBEAibbKlL7Wo9Oc3RMKCiUEf1nOfdwEe3/i9Ow8C44o8YM5ekufVjh8MiBWzHjh34/X4KCwsPS0kwGlBKEbUUoYhJIGJ3C2l3/Wgl/Z89ztQK/j6XLh7nMIBAM0SD4MsHT2Z8H0spTFMRtbQ4ipr6XFFLiyUzaTpqqZTzJeMwDFxOA5fDgcsRm7bnnVoYxaZdDiOt7wXTUoSjJg2NjVTXNvFqrZES0dPeoxeGbK+rzxStKfmZTC5IqsGz/RX4x7eg/t8w+Vhd4HnqCWl4hYIgDDmtu3SRz03PQsF03VvYrHPiPfPttFPKapq72dnURY0th5q7wimHKczyxKOFphZmxesPTS3MZEK2V34nD0Cy9FmxqZ5AxKQwy8N5C3Qh5+OLwrh+ezLkl8On/wHOkRFuO9p28PDmh3m28lm6Il0sKFzANfOu4bzy8/A4UwtV1nfX81zVczy9/Wl2tO3A6/SyZOoSLp15KcdNPC49KWJmFB68BPa8Aze/Qo27wq4bVM+/qpoJmxZ+n4vTZk3grLnFnDFnAoXZujaWaSk21bazrrqZt+1u2WMplbkZ7ng617HlBSyclIun6hV45BooO1IXoB6PPWKFu+E3J4NlErzldVZWdbHsg70s31RPKGoxKS+DixaXsnRRGUeU5cj3whDSFYrGb2ITkT0ddCbdxE4ryEx0IT0xKaqnfY/u4n3vejjty3DG16S48OHGxmfh2c/pHnkv/iUsuJxgxKSyoTMeMRRLKdvVkhCAHqeD6ROy7KLTWgpNL8qKd5oBsQfmvTu+6G/cs+OL5A4y0olSin3twbgQjUX3VDcmRFmWx9krfWvORD+Zbie88UtYfhdMmAef+CsUVKT19Yw1hlsAudBFoJcAe9BFoK9RSv27v336EkCbNm1i7ty5aX8zHy6YlkUwouVOKGoRiJiEIhZRK1H93uVwpHbXaHff6HT0YaatqL5xCbYmlrkyILNAP7E4iIvjWMHX/uSQFkhaJJm2TIqFvffE5TBwJgkhV8q0gcvpsKWRlkcH8/6xLEXYtAibFpGoHoejsXkV/1sqpajbVcXnX6xPScuKyx1b+ORmuPd//n0fwj++CVUr9U3H2XfC/Ev77NZQEITDnO3LdW9hTdthzoVw/g8gf1q/m3cEI3atodSaQzVN3dS2BVKiMDM9znik0LTCrMR0QRZleb5x+/QxEDZZGUvv6kv6xNK7lIK/XQk7XoXbXoMJs4e1XaZl8tqe1/jbpr+xpnYNboeb88rP45q517BwwsID7q+UYkPjBp6pfIYXdrxAR7iDiVkTWTp9KZfMvIRpOf2/r4aFjjr47WngzoBbV0FGHqBrOby+rZGVm3XtoIaOEIYBR07JI8fnZn1NS/wJcFmuj2MrCuIFm2cVZ6dGslSuhL9dBcVz4ZPPxs8xGmgONvPa7tfY2rKVc6adw+IJi4f32rXmTXjgAjjuVrjgx4D+vnhlUx3L3q/l1a0NRC3F9AlZLF1UxtLFZcwszh6+9owxLEuxp1WnpiSncPUV1ZNcmLnfWj07XoPHboRoCC77Dcy7aERfjzCEtO7UvVHtfgs+8kk4/0cpD8djdIejVNZ32d3Ud8QFUaxHwuGk355QY+LI6LvH1HjPqj16SO1zP5J7bk0IqV0t3fEi/ACT8zPiome+neY4JT+zd5RiuAue+Sz8+yk44jK45J5xF905EoxEN/AXAL9AdwP/R6XU9/a3fX8CaN68eYNuy1jDshShqKllT2wcMYmYCdHjMAwdyROP6HHgPZiuIMPd0LIDzDDklEFGIQRboLsZIt16G28OZBaCLweMob25UComifRg2nIoEWlkpUyb/eSjGRhJUURaDsWijByGQdS0CEcT0idqpnaTbhgGHqcDt9PA43LowamHqu1bOWL+vEO7yGvfCyu+B+/9FXy5cPpXdfeu47zHIKUUdd11VLVVUd1WzY62HVS3V9McbCbXm0ueN498bz55vn7G3jwyXJI/L4xiomFYew+s/gkoE075Epz8BXAfXO2ScNRid0usIHWXHT1kRxE1d8e7QAUtzSflZ8SlULktiHIy3LgcOh3XlZSu23OZy2ngtNc5e647BNE+3OxP+ly0sJTj+qrp886fYNkXdHTW8bcNW9vaQm08te0pHtnyCHs691CcUcyVc67k8tmXU5RRdEjHDJkhVu5amZIidlTxUVwy4xLOLT935FLEdq6FP10Is86Fq/4KPR4sWZbi33vbdXTQlnoC4Wi8WPMx5flMzu99ExWn+g146HIdQXfjc/pBVBpRSlHVVsWqXatYvXs179W/h0LhMBxYymJh0UKum3cd55Sfg9sxTJFkL/4P/Os+uPF5KD8lZVVLV5iX/r2PZe/vZU1VE0rBvNIcltqRQVMK9vO3Hmd0hexaPfsSaSk9o3rKC7MShZknHkStHqVg7b36QV/hDP25GGa5LIwAZgRWfh9e/zkUzdbdkpccMaBdO0NRttupY7FyGroH0kTPpam9o/bfw2m8d1Srj15Ve/SEqnpsB6k9ofbuMTVpP9VXr6t9bzcxx5eIgCv1D6y34eYd8Mi10LAJltyhr4lG0TXFWGLYBdDBIgKoN0opQtHUtK1gxCIcNeOxMYZh4HU5ErLHjujRdXsO4cOjFHQ3QtsecLh0VIq3x1OjSECnhXW3gBUBw6kjgjILwJ2Zlg9trC5RshCKmAqzZ5SRPR/78jMwcLuMuNTxuBy4XYnp/aWcHdL7M9Shwxvf/LW++Tv+Njj1v8ZdDnggGqCmvUYLniTRU91eTSCaeDqS7c6mIreCwoxC2kPttIZa44OlrD6P7XV6tSjy5Q9IGOX58vA6x7d4E9JA2x74xzf00678cv0Ucc75Q3Joy1LUdQR11FBTN9XJgqipq1eq6lDgMIjXd0sWSDFp5DQMnLZI2q9cMhKCPmV/O/LTadeW63VshwOnA/a2BlmxeYDSJ0bzDrjvZJh8DFz/dC9xMRRsad7Cw5sf5vmq5wmaQY4uOZqr517NWVPPGlJB0DNFzOf0sWTaEi6ZccnIpIit/Q289FVY8i392zYU7HoL/nKZfhh14/OQXTw0xz1IIlaE9XXrWbVrFat2rWJ3524A5hXM44wpZ3D6lNMpzylnWeUyHtr0EDXtNRRnFnP13Ku5YvYV5Hpzh7ZB4S79vkXBf7zZ79Py+vYgz3+ou5Vfv1NHdB81NY+li8q4aFEpxTljr3C2ZSnagxFauyO0BiK0dodpC+j5lu4wrd0R9rUF2bSvnZqm7vh+sageLXp0asrsQ+2BK9wFz34eNjwO85bCpfeNz5TFsUzlSnjyVgi164jeoz8l4uJg2b4cHr9JT3/8jyD1foYVEUCjCKW0rAhGTIJRnbYVtKVP8v/Ca8sdrx3R43M7U/JHB41l6tDGYKv+kcorB+d+fvSU0kKju9lOE1Pg8kFGAWTmQ4/aBaMJy1KYSg2qptBBvT/NKKz/M6z6AXQ1wIKPw5Jv6hu/MUosmicud5JET21XbXw7A4NJ2ZMoY0QfBQAAIABJREFUzy2nIreC8hw9rsitoNDXd/0vS1l0hDtoCbbQGmpNjEMttAZ7jO317eH2ftua6cqMC6NkORSXSD1kUq43d/ie6grji6pV8MJXoHELzD4fzv/hsOe8t3aHqWnqpiscxbRiRf1VXI7HUnFTBtXPMrPvdbG6b1FLP8FMHpuq97LY+fs8T4999tembJ+Lc+aXHFj6xLBMHbVStxFufxNyJw/Z3zliRVi+czkPb3qY9fXr8Tl9XDj9Qq6eezVzCuYM2Xn6Im0pYkrBEzfDv5+E656EGWcO7nh734U/X6IfMH3qRcgpHZp2DpC2UBuv73mdVbtW8caeN+iIdOBxeDi+9HjOmHIGp00+jYlZE3vtZymL1/e8zl82/oW1tWvxOX1cPONirp1/LdNzpw9dA6vfgD9dAMd/Bj76owNuvqu5m+c+0DJoY207hgEnVBSydHEZH10wkfys0XXdZlqK9kBC4sTH3VrmtNnzLbboabO3aQtE2N+tjN/rYoLfm5rCNdE/dD1wNVfBI9dB/UZ9rXfKl0QMjFU66+Gp26ByBcy/BJbeParSU0ctSvWo9/OQjvAcZTR0N7CjbQfHlR6X7qYMCSKA0kTUtJJSt3RETyhiYib9zd3O3hE9Xpczni9ZXl7OunXrKCpKDRfPzs6ms7Pz0BoW6YbmajBD4C+F7JKD+7GyohBotVPEdI8deP1aBvnyhuWJaozq6mouuugiNmzYwLp163jwwQe5++67h+18MQb0/lQKtr4M//wmNG6FqSfpAs+Tjx729o0UgWiAne072dG2gx3tO+JRPT2jebLcWVTkVPQSPVNzpo5IBE7UitIWaksRRrGhl0iyx52R/j9Pfo8/RQodKNoox5OTngKtwugnGtapHKt+pL9LT/kinPL/dD0VYXh5/Rfwyh1w2f2w+KohOWRjoJEntj7Bo1sfpb67nknZk7h67tVcOvPSoY8CGQD7SxE7r/w8sj1DXBsm1Am/X6Ifdtz26qFLtX0b4M8XgccPn3oB8qYMbTv7oaa9Jh7l8279u5jKpMBXwOmTT+f0KadzYumJZLoHnkK1tWUrf930V56rfI6wFeaUSadw/bzrObHsxKGRDS98Bd76Ldz4ApSfPODdttd3sOx9LYOqGrtwOQxOnVXE0sVlnDO/ZEh7HYyaFu3BaJ8SJyZuekqc1u4I7cH9i5wcn4u8TA95mW5yM9zkZXrIz3STl+EmN9NDXoabvMzYoOdzMtzD21X3tn/CE58GDIlosLGURTAaJBANEIgG6I52x6cDkUDfy5PW+z1+FhQtYNGERVTkVuAY4rITg8ay4M27YcV3wF+m/+9Tjk13q0Yvo7Tej1KKHW07WF+/nnfr3+Xd+nfZ1bELr9PLm1e/2atThsMREUDDjGn3vJVco6czEE4RIU5HrE5PIqLH63bgOoAsGVIBpBR0N0Hb7njKl+nKwOkcxI1qNKhFUKBF1xAynNqGZxToD3jSBY+y814dgxBEyQJoJDng+3Pvuzrvu/o1KJwJ53wb5lxwWD4FUkpR311PdXsiiicmevZ27Y1vZ2BQll2mJU9ORYroKcooGlV1QgZCxIwcMLKop1BKll7JGBiJOkZ2RJHf48fv8ZPlzsLv9pPtySbbk43fbS/z+Ml2Z+P3+KW20XigfS/8439hwxOQN1VHAx2m3xmHBfs2wO/O1JFXVz446L/zBw0f8PDmh3m5+mUiVoSTyk7imrnXcMqkU0aN/K3vrmdZ5TKeqXxmeFPEGrfB/WfqeiefevHg69s1bNFFjp0eLX+GMSouakV5r/49Vu9ezapdq6hurwZgVv4szph8BmdMOYMFRQsGfdPZHGzm0S2P8sjmR2gKNjEjdwbXzb+Oi6ZfhM81iDSscBfcdxJg2KlgB1ffRynFxtp2nn1/L8+9X8ue1gBel4Oz5hazdHEZZ80txufW74uoadEWiNDSHaEtkCpx4lKnj5Srjv2knRoG5Pjc5Gf2kDa2xMmPCZwMD7n28rxMD7kZbpyjqbt7y4LX/g9Wfg9KFuiIhsMoylspRdAM0h3pQ8JEA/0u72tdXyLnYHAaTjJdmWS4MshwZ9AUaIo/kMt2Z3NE0REsKlrEwqKFLJyw8JDrpw05u96GJ27Sv+Vn/S+c9IVhfQB+WDKK6v2EzTAbmzbybv27rK9fz3v179Ea0mmyBb4Cjio+iqOKj+IjxR9hfuH8UfM7PhgOOwF017J/s3Fv/ykch8L8shzuWLr/ol1dXV1ceeWV7N69G9M0+eY3v8n06dP5whe+QFdXF16vl+XLl+N2u7ntM5/hX2+9jcPh5Evf+h7HnXQqzzz6N1a8tIxgdzdKWSx76RV++6uf8/RTTxAOhbjsssu46667Bnzuq666Ki6AsrKy+NjHPsbHPvYxbrnllhQB9JOf/IRHH32UUI9zXHrppezatYtgMMgX/vM/ufWq8yHQQvasU7jt1lt5ZcUK7rnnHq677jpuuOEGli1bRiQS4bHHHmPu3Ll9tvPOO+9k586dVFVVsXPnTr74xS/y+c9/HpTiZz/5IX984E//n71zj4uqzv//88yV4Toz3ARFARVRREEl74pa2hWzq6apXXZLW7favmbtZlv7bbfdX37brF3bbVszU1vtaqW5lqmJWalIYILiBQVRuQ+XGYa5nN8fB0YQUEQUxM/z8TiPmfmcz/mczxwOM2de5/16v0F28fCM23ni0QfJLapmyp0zGT58BHv37mXjxo3ExcUxb948Nm7cSFhYGH/60594+umnOXHiBK+99hopKSnk5uZy//33U12tRBj97W9/Y9SoUY0EoG3btrFkyRK++OILbr75ZgoKFHHi2LFjvP7668yaNYtnnnmGbdu2Ybfbeeyxx3jkkbYl/GxRACo/AVv+FzLXKUmyk5+FoXOvWEnhS6HGWaPk5qk4G8VTL/RYnWd98t4a7yaRPJH+kfTy73VpF7JdAJvThsVuoaymrEXBqL6tsraSqtoqqhxVLVa9q0ctqfHR+uCrVUSiemGo/nl9e72QVC8sNezno/HpEl9gXZ5j38LGhVCUDX1uUKwdgb07elZdC6cd/jVRCd+f/z34BLZpmFpXLZtyN/F+1vvsL9mPj9aHqb2nMj12OlEBnbd8rSzLZBZnsv7wer489iWVjstgETvwGay7H4Y9BLe+2vrtSo4o4o/sVsSfoL6XPpdzqKytZGfBTrbnbWfHyR1Y7BY0Kg1JoUmMjxhPckQy3X27t/t+4ew5896B98guzcaoN3J3zN1Mj51OiHcb8xvlpipWxuHz4KY/t3lusiyTdqKcz38q4IuMUxRX2fHRqTH56LBYHZ6Kbc2hkvBE4QQYtHXCja6u7axw0zAax+itxc+rkwk5baGmAj55FA5ugPh74LalFy3EXSqnq0/zc/HPWGotzQoz54oy54o2Nc6aC16HNEQtqTFoDIpQozUoYs05S0MRp8X12nP6agxoVY0r6LplN7mWXDKKM8gsyiSzOJNDZYdwyS4Awn3CiQ+OVwShoHj6B/bHoOmgCFpbOXz+aziwHnpPhGn/7LC8ZZ2ODs73Y7Fb+KnoJ0XwOZPG/uL91LprAYj0jzwr+IQOoadfzy550/V8AlAbMp11XTZt2kR4eDgbNmwAwGKxkJiYyNq1a0lKSqKiogKDwcDSpUtRSRKfbf2e/GOHmX13CnszDtAtwIucA5lkZGRgNpvZvHkzJ3KPsvvHH5FlmZSUFL799lvGjRvXqn3XU1VVxfTp05k9ezazZ89utN3mzZvJycnhx2b2sXz5csxmM7aKUpKuG86dY/oR2Ks/1VYrw0eO5P/++lfPOEFBQaSlpbFs2TKWLFnC22+/3eJxys7OZuvWrVRWVtKvXz/mzZtHRkYG77y3hh/2pCG7nAwfMZzxY8di8tGQk3OYd5f+kRH/+Ct4GamurmbixIm88sorTJs2jeeee46vvvqKAwcOMGfOHFJSUggJCeGrr77Cy8uLnJwcZsyYwbmiYUM2btwIwN69e3nggQe4/fbb+fe//01AQAC7d+/GbrczevRoJk+eTFRUO1yo28oh9VUlCaYkKZ7vMU8oVb46EbIsU2QrapSTp/6xoKqg0QVAuI8SzTOt77RGQk+Id0iX/GBsD+ovYJrLC9ESbtmN1WGlylHlEYQqays9j9WOas/rqtoqKh1KW6G1kCPlRzztTvnCyX19tD4XjDiqF5CaE5Z8db4i/9HlJmocPJoKP/wTtv0Zlo2AUb9Wkupe4R8VXZZtL8OZ/TBjbZvEn9PVp1l3cB0f5XxEaU0pUQFR/Hb4b7kt+rb2t1RdBiRJYlDwIAYFD+Lp655m64mtfHrkU/69/9/8K/Nf7WMRG5CinLffvQ49kiBhxoW3KTsO76YoBSbmbmhX8Se/Mp/t+dvZmreVvaf34pSdGPVGxnUfR3JEMqPCR12Rv51OrSOldwq3Rd/G3jN7ee/Ae7yd+Tbv7H+HKVFTuH/A/cQFtq6ikIfIMUpJ+B/+oRz3XqPaNDdJkhjay8TQXiYW3zqAH46WsHH/Kax2VwPx5qzdymjQYvJWInP89JqmpZ2vBYoOKhENpUeVqM3hj172iAaX28Xh8sMem8q+wn2NcivWUy/SeAQXrSKy+Gp9CTYEN7uuWaGmbt35RJrLiUpSEW2MJtoYze19bgeUm21ZJVlkFmeSUaQIQ//N/a/nfceYYjwRQoOCBhEZEHllrGMGI9z9rlJZctMzSqL2O9669HxoVzMdkO9HlmVOVZ9S7FxnlAifI+VHkJHRSBoGBA5gRuwMEkMTSQhOINDQtptAXYlOKQBdKFLnchEfH89TTz3FokWLuPXWWzEajYSFhZGUpHg7/f39AUhNTWXBggXEhPoRE5pIVGQkZ/KOoVWruOGGGzCblZKlmzdvZvPmzSQmJgKKkJOTk9OsAHTuvseOHetZN3XqVJ5++mlmzpzZZLvz7eP1pUv55OOPwOUgr+A0OaVuAgd2Q61Wc+eddzYa54477gBg6NChfPzxx+c9Trfccgt6vR69Xk9ISAhnzpwhNTWVadOm4eOj+DrvuPNuduw/TsrNU+jVswcjEgco0TJSPjqdjhsnjAZZJj4+Hr1ej1arJT4+ntzcXAAcDge/+tWvSE9PR61Wc+jQofP/8YDi4mLuv/9+1q1bR0BAAJs3byYjI4MPP/wQUES1nJycSxOAnLWw9x3lh5qtDAZPV0I/2zGZaFuwu+wcrzjerNBTXZ+nCUWwiPSPZFDwIKb2meqxbvX079lxd1CuMVSSyiOu0EYbdH34tkcsqhOK6gWlc4Wl+vWWGgsnK0962u0u+wX35aX2alYw8tH64KX2QiWpGi2SJKHi7HO1pG7SppJUqDhnfYO2JmMiNRm/0XYN+tS3qSV1s9udb64qSYVOpSPUJ/TK5h1Qa2HUryD+LsVKumMJZKyFKX9SKsoIAbbtnPheuRgdMvuiKq/JssyeM3t4P/t9vjnxDW7ZzfiI8dwXex8jwkZctaK4Xq3nxqgbuTHqRs5Un+GLo1+w/sh6Xtj1An/+8c8ei9jwsOEX/z8w6feKHfqLJ6DbQOgW33Jfy0l49zaorYQ5X0DIpaUAcLldZBZnekq1Hy4/DEBUQBT3x91Pco9kBgcP7rCoSEmSGNZtGMO6DSOvMo81WWv4OOdjNhzdwJCQIdw/4H4mRExo/fwm/V7JObj+MXh05yWLxWqVxKg+QYzq00nsNZ2RrM+VyB+tAeZ8pghxlwGrw0pmcaZH7MkoyvBYokIMISSEJDB7wGwGBw8m2Du4Q0SaK41BY2BI6BCGhA7xtBXbij0RQhnFGWw8tpF1h9YB4Kf1Iy4ojvigeAYFK/axy/ajX5Jg2AMQMRw+fECpYjjmSZjw26vCDdCu1FbD+l8phQEuY74fl9tFTnkOaWcUK1daYRpnrGcAxTY4OGQwN0beyJDQIQwMGih+3zRDpxSAOoqYmBjS0tLYuHEjzz33HBMnTrzoMeoFEFAuIJ999tlW2Y7O3fekSZN4/vnnARg9ejSbNm3ivvvua/Lh3tI+tn2zha//u5Fdn76Fd0AwyXc+TI1bubDw8vJqkvdHr1c8+2q1Gqfz/JEF9X1b1V+jx8fXH0IGKB8MtlK0GjVS6RFQ61A5qtH7Kv+YKpXKM9Zf//pXQkND+emnn3C73Xh5nd9q5HK5mD59Os8//zwDBw70HJs33niDKVOmnHfbVnPgMyWBaOlR5a795JcgbHD7jN1KymvKOWo56lmOWZREzOdG84T5hBHpH8nU3lMb2bdCvUO77AXCtYQkSZ6LvkvxwztcjkYCUWuEpCpHFUXWIiodldhddtyyUsHQLbuRUR4bLhcTZt5ZMGgM9A7oTV9TX/oY+9DX1Je+pr4tVqprN/y6wZ3/UmykGxcqlpreE+GmVyCoz+Xbb1fFXqX8YAuIUMS0VmB1WNlwbAPvZ79PTlkO/jp/Zg+YzT397qGHX8cK/e1NqE8oD8U/xIMDH2xkEdtwdEPbLGJqjRLq/89xsPZ++OW25ivkVJ6BlSlK/sDZ6yFsUJvmb3VY2VWwi615W9lxcgelNaWoJTVDQ4eycNhCkiOS6enfs01jX04i/CJYdN0i5ifM55OcT1iTvYYntz1Jd9/u3Bd7H9P6TsNPd4ES4npf5cfVu7fCNy/Bja07vwVtwO1SjnHqq9B9mJJDLKD9LIOF1sJG0T0HSw/ikl1ISPQx9eHmqJtJCEkgMSSR7r7dxTVcHUGGICb0nMCEnkq0jVt2c8xyTIkQKlaEoeX7l3usY919u3tsY4OCBxFrjm3fNAahA+AXW5VIoNRXFavmXf9WcvxdC5Qeg7Wz4MzPcP0LMPqJdrt5ZXPa2F+8n7QzSsLm9KJ0z83tUO9QhoQMITFUyd/Tx9hHpD9oBUIAakBBQQFms5lZs2ZhNBpZtmwZp06dYvfu3SQlJVFZWYnBYGDs2LGsXr2aiRMncujQIU6cOEG/fv1IS0trNN6UKVNYvHgxM2fOxNfXl5MnT6LVagkJaeoPPXffDS1Yf/jDH/jDH/7AY489xrJlyy68D5xY8rIw+RnwDo4i+2Q53//ww+U5aHWMHTuWuXPn8swzzyDLMp988gnvvffe2Q6SpFyw6H1BUoGxF9hKobYKqtxQdEgp/VqHxWKhR48eqFQq3n33XVwu13n3/8wzzzBo0CCmT5/uaZsyZQpvvvkmEydORKvVcujQIbp3795IpGsVtdVQdQY23A/BsXDfB9D3hst2V77etnWk/IhH5Kl/XlpT6unnpfYiKiCKQUGDGgk9Pf16XlTVEsG1i1atxaQ2YfIyXbZ9yLLsEYZkWcaNu6lI1KBdlmVcsqtJm1t2K6/dymPDNs/zc4Sn5sY/3z7dshub08YxyzFyynPYnr+dTw5/4nkvJr3JIwbVC0N9jH3w0bbzHa7I0UpFpd3/gq1/qrOFLYBx/9MpqmdcNWx+Dspyldwy+vP/oM6rzOM/2f/hk8OfUFlbST9TP14c9SI3Rd3U5e8etqtFzDdEsUSsuFkR36avaZwYtbpYEX8qTsH9H190lczT1aeVql352/jx1I843A78dH6M6T6G5B7JjO4+ukOqr7UFP50fs+NmM7P/TLblbWPlgZW8sucVlv20jGl9pnFf7H1E+J+nGlrUWEj6BXy/TIkU7DXyyk3+WsFaCh89DEe2wJA5cPMrF5/kvAFu2a3Yuc7sY1/RPtIL0zlZdRJQrunig+N5cOCDJIYkMjhkMP46//Z6J10elaSit7E3vY29mdZ3GtDUOvZT0U9syt0EgEbS0NfU1xMhFB8cT6T/JVrHdN6Q8jpEj4fPn4B/jIGUN5SS8V2ZI9/ABw8AMsz6EPpcf0nDldhKPJE9+wr3kVWShVN2ekTRW6Nv9SRsDvMNa5/3cI0hBKAGZGZmsnDhQlQqFVqtljfffBNZllmwYAE2mw2DwcDXX3/N/PnzmTdvHvHx8Wg0GlasWNEoKqaeyZMnk5WVxciRypeyr68vq1atalYAam7fDVm6dCkPPvggTz/9NP/v//2/lvfh7cWq137Pjckj+cea9fQfPpF+/foxYsSI9jxUTRgyZAhz587luuuuA+Dhhx8mMTHRY+lqgrdZWXxCQK8C2QWWPCURZGku8x+azZ33zWHlypXceOONFxRtlixZQlxcHAkJCYAimj388MPk5uYyZMgQZFkmODiYTz/9tPVvymlXsvvXlCvlmm9bCgmzlLuc7YDL7aKguoCj5WcjeuqfNyxJ7qfzIzogmuSIZKIDopXFGE2YT1jnK48pEJyDJEkeK9bVSImthMPlh8kpyyGnPIfDZYf5OOfjRpVOuvt2p6+xsTAUGRB5afmT1BoYMQ/i7lAiD1NfhYx1MOWPysWkuAt8fnK+Uuy6o37dYo4Ut+xmV8Eu1mSvYUf+DlSSiut7Xc99sfeRGJJ4Td5pv5BF7Ppe1zO1j1JFrMX/6Z7DlYirL59Wzttx/6O0W0vhvdsVUW7mB9DzwtclbtnNgZIDHmtXdmm2sgu/nkyPnU5yj2QSQxOv6lxlapWaSb0mManXJH4u+ZlVB1bxn4P/YXXWaiZETGDWgFkMCx3W/Pl4/QuQU28FSxV5w9qT05lKvp/KU8r139C5Fz1Eo8iFon1kFGZQ6agElAiWxJBEz+dNbGDsVX0ed0aas44VWYs8EUKZRZl8cfQL1h5cCyjX2wMDB3pyCcUHx2P2Mrc0fMsMvBPChyhJkNfNhoSZ0G2QIh7WL2o9aLxAo6t73sI6jZdSubkzfh81yvcTC9NXX3S+H1mWOV5xvFF1rvrqjDqVjvjgeOYOnKuIosGDrxqBv7PTKauACdqA26WUd7eVgs5XKUfZSu9p/V3v+sXldqFRadCqtGhVWuW5WnnUSJrLc1Esy+Cwni0pL7tApQVvExgCQXsFq025nFB1WrlTKUngE0JWfin9B7QtN5XD5eBE5QlPFE+90JNbkdsoB0uQIaiRwBMdEE1vY+/LbzsRCAQXhVt2c7LqJIfLDpNTnqOIQ2U55FbkesLNNSoNUQFR9DH2IcYUQ19jX/qY+hDuE962/+fjuxRb2JlMiE5WbGHBMe36vroM1lJYNlK5yfCLrU2+PyprK/nsyGf8J/s/5FbkYvYyc3fM3dwdczehPqEdNOnOS0tVxFJ6pzC199TmbVayrERO7P9IifTpPhRW3q4k457+PvRt+Q6xzWnjh1M/sC1vG9/mf0uRrQiVpCIhOMFTtSvKP6pLfy8WWgtZe3At6w6uo9xeTn9zf2YNmMWNkTeiU+sadz66XYmqGvkrRSAWXDoZ6+CzX4PBBPe+Bz2aLaTThGJbsafqUHphOtml2Z6CDX2MfTxWrsSQRHr49ujS5/DVgsvt4pjlmCeX0P7i/eSU5TSyjtWLQfVVx/TqVkaBOWvhmz/Arr8rN7jbjHSOWNRAHFLrmnndgpDUpK/+Auvqx6lfpz8rRDXM9zPgdsWSqr9wYn2Hy0FWaVYj22O9u8GoN5IQkqBYukISGRA4oOnnnaDVXHVl4AUXiaMGyo6BswZ8Q8EvrEWlWJZlHG6HUiLSoZSKtDvtnjwdOrUOtUqN0+XE6XY2yd8hSZJHHGoiEjV4fklfarJbKbNpLQF7hdKm9VYu5r1M7RaB0+x+q4uU/ASySynr7tcN1LpWnZ9Wh5XcitxGkTxHLUfJq8hrVLGpu293ogKi6B3Q2yP0RAVECVVbILjKqXXVeuxjDcWhhhVbfLQ+9DH28UQKxZhi6GPs0zobnssJe5Yr+SgcVhg5H8Y93aqLrmuKDx5QErb+4ptG+WWOlh9lTfYaPj/yOVanlUHBg5gRO4PJvSaLi8xWUuOsYVveNj498im7Cnbhlt0MCRnC1D5TmdxrcmOLWG01/GuSYqEO7K0kiL7nPYi9ucm4RdYitudvZ1veNr4/9T12lx0frQ+jwkcxIWICY7qPuaxW1c5KjbOGDUc3sCprFYfLDxNkCOLefvdyd8zdjZPafvEb5bPhwf8qEViCtuFyKIn4f3gTeo2Gu1e0WNbbLbs5Wn7UE7Wwr3Af+VX5gBJJNzBooEfsEZELVxdWh5Ws0iwyixRRKLM4k9PVpwHFOhZjjmmUYLqXf6/zRzk7bMritCu/1Vy1yqOz7tFlr1tnP/86p72Fvs2sO/e129E+B0ddJ0LJbuU65PrfnzffT2VtJRlFGR47V2ZRJjWuGkDJh1Zv5UoMTezywv6VRghAnYiSkhImTZrUpH3Lli0EBrYhQ721VLFO1efV8WrsF3a5XdQ4axTBx6kIPi63omqrJFWTso8alSKuvPPOOyxduhQZmfpzJGlEEn969U843A6cbicOtwOH20Fz51AjQUjdvGDUKkuIy6FEBFlLwWkDJOU9egcqOR3aw1Yiy8o+Kk8pH6Z6f/APVyo91NHw/LTYLRyzHOOo5WijPD31Pm5QylL29O/ZJKIn0j9S5OcRCK4xKmsrOVJ+hENlh8gpy1EsZeU5WOwWT58gQ1AjG1mMKYZoY3Tz+WeqiuDrFyB9FfiFw5SXFKuYuHCCzA/ho4dg0vMw9ilcbhfb87ezJnsNP5z6Aa1Ky01RN3Ff7H3EBXVMxdGuQr1F7NPDn5JbkYuX2qupRaz4MLyVDI5quOsdiFPKOsuyTHZpNtvyt7E9bzs/l/wMQLhPOMkRyYyPGE9SaBLaa62KTgvIssyuU7tYdWAVO07uQKfScUv0LcwaMIsYU4yS8PzNkcqPs0dTG12/CFpJVSF8MBeO74QR8+GGPzSKpK9x1pBZnOkRe9KL0qmsVexcZi+zR+xJDEmkv7m/OHe7GEXWIkUMqqs8tr94P1anFVCsYw0TTA8MGtg269jlxO0+RzxqTiyqE54arWtOsKpVlv63KRHJDThdfdoTBbevcB+Hyg4hI6OW1MSaYxv9nwR7B3fIobhWEAJQV8Tthop8JUpG5wOmSGSVllpXrUfssTlt1DhrPJvo1Dq8Nd4YtAa8Nd7o1fqibCyRAAAgAElEQVRLVlrrk6c2FITqnzvdThwupc3dTOijWqVuMYKo/rFRJvdaq2Jxs5UpOXlUGiU819usRAi1BXsVVJxUVGyNQRF+vPyRZRmn7MTutGN32ck5mMO/zvyLo5ajFNuKPZvr1XqiApRS6vWWreiAaHr69RRf/gKBoEXqk73XRwrVi0NHLUc91lAJiQi/CE/i6XobWU+/nopYn/cjbHgKTmcolQlvegVCYjv4nXUgFQVKwuygfpTf9z4fH/2MtdlrKaguINQ7lHv73cudMXd2vgvzq5x6i9inhz9l07FNTS1iVSVgr8Le8zp+PPUj2/O3sz1/O6erTyMhER8cT3IPRfTpa+wr7gBfgKOWo6zJWsP6w+upcdUwPGw4swfMZozdheq924UVrC3k71Eq19nKlCS+g+6h2FZ8VuwpTOdA6QGcbiWaOzogutEP2Qi/CHHeXmO43C6OWo6yv3i/RxjKKc/x/N7p4dvDYxuLNcdi0BiQJAkVKlSS6uxzlapxm6RCLak9uRPr21rq61lX13YlOTep+b4z+yioLgDAW+PNoOBBnuieQUGDxA3wK4wQgLoajhooy8XltGHzNmPVGRTBx2HzeFZVksoT1VO/1Ef3dAQu93lEorq2+sikhqgkFVr1OcKQpEHrcqC1V6KxV6FGRtIYFCHIYGpd7iNHDVQWINdYcKi12L3N2DU67C5F8LE77Y1Eq8LcQt4ufNsT0dPb2JuogCjCfcJFuUGBQNBuuNwu8irzmtjITlSe8Hwm6VQ6eht7KzYyY2/6Fh2lz55VhNZUIQ1/FJKfuWDVqy6HLMOqO8g6tZv3h93FxoJU7C47Sd2SmBE7gwkREzr0O/BaocZZw9a8raw/vJ5dp85axExeJr4r+A6b04ZBY2Bk2EiSI5IZ22MsQYagjp72VYnFbuHDQx+yJnsNhdZCevn3YqbLi6k/b8H7gU3CCtZa9q7AvXEhxwK6sW/kQ+yzF5FemM6JyhOA8nk7MGigJzfJ4ODBGL2MHTxpQWfE6rByoOSAJ8l0RlEGZ6xnrugcGgpC5wpIkiQp4tL52iSVR3xquNS31fcFRYyuj4ILNgQrdq5QJX9PjClGfOd2MEIA6gLIsozdZcdqLcZWU4ZNkrA3UHr1Gr0S3aNRont0at1VdzfCLbubikSupoLRuUhIaJHRut1oAK1ah0brg1bvpzxXaVBLahwuB3anFbu1BLvThl2SqJVUuBvkOVKr1OjV+ibL4UOHxfkpEAg6jBpnDUctR89ayOoSTxfaCj19/CQNfW1V9JW19O17G33j7qGPuW+XLyXscDvY8s1vWXPkU/Z5eWHQGLg1+lamx05X7DGCDuFM9Rk+P/q5J+fSuO7jGB8xnuFhw1ufRFVwQRxuB18f/5r3DrxHZnEmfm6ZuxwaZtzzCWHGqI6eXqfE7rKz/8w+9qW+THrJz6R7+2BBEdhNepNH7EkISRCJaAWXRKG1kMNlh3HKTtyyG7fs9rgn3CjPPe3IuNwuZOQmfc9tc+P2vD5vm+z27Mcluxr1rV/vkl2Ntvfs85ztG47txu3J4SOSmndOhAB0FeJ0O5WcPY6zdq76u79qwFvrg0Hr44nuuVaiUNyyG5fb1SSSyOF24HTV4nDV4pTdXOis1koSeo03eo0XOrXOI/S0pFaL81MgEHRGLHaLp0R9TlkOh8+kk1N+mCrp7KdgqHcoZi+zUsmxThBXq9Seyo5qSe2x3GpV2rPrJU3L29Stb7JN3foWt2nFerVUN6ZKrfRpcMexIcW2Yj449AEfZL1Pkb2MCLRMH/YEU/tMFQlXBdck6YXprNr9Kl8XpYGk4vrIydw/4H4GBw/u6Kl1KKU1pR4r177Cffxc/LOnOEekxo8hkdeTUPdDtpd/L/FDViAQXPWcTwASsVmdALfsxu6ye6py2Zw2al21nvVeaj0BbhlvlxODwYzOvztSeyQ/vgpRSSpUatV58+vIshtnjQWnrRRHbTUOZFySCp3sRq/1QecXjlonfKidDZfTyfGMfRQeO4KP2Yx/YAh+QcH4BQWh1Ym7xQJBcwToAxjWbRjDup39jpddTk7/8DdyfniDHBwc9upOpcoLp0rChYRTlpV8cQ4rTrfTk8et/rFRm9uFUz7b1lw+tyuBRzSqE4U0Kg0V9gqcspPRbh0vlFsZ8+C3qAK6d8j8BILOQEJIAgm3rOTUp4/y/olNfJj/Lf/N/S+DggYxa8Asru91PVpV18hPaHfZKbGVUGwrpsRWQklNSfOPthIqHYpNRavSEucbwf1VNhJraki4/s+YBk3v4HciEAgEVxYRAdQBONyORmKPzWnzVNLSqDSNqnIZHHZUljxAAlMv8Lp8dzWTk5NZsmQJw4YN4+abb2bNmjUYjVe5z9ntBFu5Uo7W29zmvBjX0vl5JZFlmdOHD3Fgx1YOfvcttsqKZvsZ/PzxCwrGPygYv8DgBs+D8AsKxsdoQnWNRMEJBK3GWgpbXoS978K5cZFaH+X7xMtfqXzY7GPT9W69Ly6dDw6tNy6JRgJRvUhUH6V5McJSa9Y3HNflduGn8+P28hIid7wOdy2HgXd2yGEWCDodNRXw5iisGj3rJz7O6kPrOF5xnFDvUGbEzuCumLs6ZZSczWlrVsQpthVTWlPaqK3KUdXsGH46PwK9Agk0BHoew33CGRw8iAFHdqL/6vdgjobpqyG43xV+hwKBQHBlEBFAHYDT6USj0eCW3dQ4azwl2G0OGw63AwBJkvBSe2HyMnny92hVWiX0VHaD5SRYi5UKV6Yo0LTsQa7fX3uxcePGdhurQ1FpwCdIWQSdhrLTBWTt2EZW6lbKT59Co9URPWw4A8Ym0zNuMNaKciqLi6koKaKyuIjKkiIqiosoP32KvJ8zsVurG42nUqvxNQfiF9hQGAppJBLpvX1EWLfg2sLbDLctVUoaFx0Ee4Xyw9DzaFEeayxKRcnSY2fX1VUiOxdV3aKFOhHpQgJSMyKTd92j3h/Ul/C9deon2DBREX6E+CMQnMXLH1Jex/u9acwoOMy9t3/GjvwdvJf1Hq+lvcY/M/5JSu8UZvafSVTA5c0TZHVYG0XjtBSpU2wr9pTVPhd/nT+BhkCCDEH0N/dvJO7UPwYZgjB7mZvP11Nrhc8fh8x10O8WmPYP5RgJBALBNcglKQaSJN0NvAD0B66TZXnP+bdoJV8+A6cz22UoD93i4aY/n7dLdXU199xzD/n5+bhcLhYvXkx0dDSPP/441dXV6PV6tmzZglarZd68eezZsweNRsOrr77KhAkTeOedd/jo44+oqKzA4XSwesNqlv11GZvWb6K2tpbJt0xm0eJFmDVmvDXeeGm8UNVZuXJzcxlx0wjGjBnDd9/tpHuwifX/XoIhqCfpR8/w6G3jsFqt9O7dm+XLl2MymUhOTiYhIYHU1FRmzJhBZmYmBoOBffv2UVhYyPLly1m5ciW7du1i+PDhrFixAoB58+axe/dubDYbd911Fy+++GKTYxEZGcmePXswGAxNjsm9997L3r17+c1vfkNVVRVBQUGsWLGCsLCwZo9rcnIyiYmJ7Nixg+rqalauXMnLL79MZmYm9957Ly+99BIAq1at4vXXX6e2tpbhw4ezbNky1Gp1i/ONjIxkzpw5fP755zgcDj744ANiY6/hEsidHGuFhYO7dpC1Yyuncg6CJNEzLp7ht99D3+Gj0Hv7ePoGeHUjIKRbi2PZrdV1wlAxFXUCUWVxERUlRRQcyqKypAS3q3HCcJ3BcDZ6KPCsMFQfVeQbGIRG2zVC4wWCRgT3u/g73U57A7HI0ox4dI6IZK9QSiiXHz/72llz4f20SkRqpl3nCx8/Aj7BcPOSth0XgaAr03siDJkD372Bqn8K4yPGMz5iPIfKDrHqwCo+yfmEtQfXMrb7WGYNmMXIsJGtukkiyzJWp7WJzaqhkNNQ3LE5bc2OY9QbPeJNXGCcIuY0FHbqn3sFntf2f17cLjjxPWxaBKf3w8TnYMxToLo20ygIBAIBXHoE0H7gDuCf7TCXDmfTpk2Eh4ezYcMGACwWC4mJiaxdu5akpCQqKiowGAwsXboUSZL4KeMn0venk3JzClv3buV09Wn27N3Dx9s/xmg2kvpNKqePn2bnrp14qb24c9qdHNt3jHHjxjW7/5ycHN5/5y3+9YcF3PPIQj7ansGsB0cye85NvPHGG4wfP57nn3+eF198kddeew2A2tpa6u10c+fOpaysjF27dvHZZ5+RkpLCzp07efvtt0lKSiI9PZ2EhAT++Mc/YjabcblcTJo0iYyMDAYNGtTqY+JwOFiwYAHr168nODiYtWvX8rvf/Y7ly5e3eGx1Oh179uxh6dKlTJ06lb1792I2m+nduzdPPvkkhYWFrF27lp07d6LVapk/fz6rV69m9uzZ551vUFAQaWlpLFu2jCVLlvD222+37Y8vuCw4au0c2fMDWTu2kvtTGm6Xi+CekYyb+QCxo8fjF9i2yCy9tw/6nj4E9Yxsdr3sdlNtKVdEoYYCUZ1oVHjsCFZLeZPtfIymJsKQRzAKCsbbPwBJXDgKrgU0evANVpa24qxthYB0zvqacig/cfZ1Cz8ePcz6SIl0EggETZn8EhzeAp/Oh0e+Ba0XMaYY/jD6Dzw+5HHWHVrH2uy1PPLVI/Qx9mFW/1lEBURRUtNybp3SmtJmRR0JSRF16oSbQcGDmo3UCfQKxGwwX75cRLVWOPINHNwIhzYp0Y1eRpj5AfS94fLsU3DJuF0ubJUVuBwO/INDOno6AkGX5pIEIFmWs4D2t1VcIFLnchEfH89TTz3FokWLuPXWWzEajYSFhZGUlASAv78SLpqamsq8+fPILslGH6YntHso2Yey0Wv0TJw0kcSoRPRqPct3Lid1ayrjR4wHoKqqipycnOYFINlNVK8IEnr6gkbP0JHjyC0owmKxUF5ezvjxyhhz5szh7rvv9mx27733NhrmtttuQ5Ik4uPjCQ0NJT4+HoC4uDhyc3NJSEhg3bp1vPXWWzidTk6dOsWBAwdaFIDOPSZjx45l//797N+/nxtuUL5IXS5Xi9E/9aSkpHjGi4uL8/SPjo4mLy+P1NRU9u7d6znWNpuNkBDlC+B8873jjjsAGDp0KB9//PF55yC4MrjdLvJ+ziRrxzZyftxJrc2GrzmQobfcTv8xyQT3uvxlaSWVCl+TGV+TmbC+zUc+OGtrqSwtblYkKsnPIzc9DYe9cQSDWqNRRKHmRKI6u5nOIBKMCwSAYlvWXKIF11kL9srGkUb1j/7dIXp8+81XIOhq1FnBWHUHbHsZbjgb8R1oCGTe4Hk8NPAhvjz2JauyVvHCrhcabS4hYfIyeYSbiJCIZq1XgV6BmLxMLVZSvexUFSliz8GNivjjrFHsp32nQOzN0Of6NueAFLQdZ20tVks51ZYyrBYLVku5Z6m2lGOrKKe6vBxrhUXJASnLhMXEct//iqhOgeBycsU+qSVJ+iXwS4CePXteqd1eFDExMaSlpbFx40aee+45Jk6c2GJftUpNkHeQkqhZa6CXfy9KvEowB5gxaAyAEib77LPP8sgjj5x/x047lB5Dr1Ur4ez+4ai1emz25hPcNcTHx6fRa71eqZakUqk8z+tfO51Ojh07xpIlS9i9ezcmk4m5c+dSU9NymP65x2TSpElMmzaNuLg4du3adcH5tXZesiwzZ84cXn755UbbXWi+9WOp1WqczsaWH8GVQ5Zlio4fIyt1G9mp26gqK0Vn8CZmxBj6j5lAjwFxnS5Js0anw9QtHFO38GbXy7JMTXVVoxxElSVnBaO8A5lUlZYguxtXRdL7+HgihhqKQ6Zu4ZjCe6D3FgKRQNBqNDrQBIJPYEfPRCC4OukzCYbMhu9eh/4p0GNoo9U6tY6pfaaS0juFjOIMqmurPRYso97YcaLOhSg5AtkblCXvB0CGgAjF9hZ7C/QaBW21jgmaRZZl7NbqOjGnrE7MsTQWcyzlWCuUx1pb8xGcOoMB7wAj3v5GTGHd6dE/DoO/EZ8AIwGhLdv/BQJB+3DBT3VJkr4Gmvtv/J0sy+tbuyNZlt8C3gKlClirZ3gFKSgowGw2M2vWLIxGI8uWLePUqVPs3r2bpKQkKisrMRgMjB07ljVr1vDvSf/m0KFD5J3Io1+/fqSlpTUab8qUKSxevJiZM2fi6+vLyZMn0Wq1nsgWQKlQVX4CXLXKF1VAj0ZjBAQEYDKZ2LFjB2PHjuW9997zRAO1hYqKCnx8fAgICODMmTN8+eWXJCcnt/qYvP322zzzzDMUFRWxa9cuRo4cicPh4NChQ8TFxbV5XpMmTWLq1Kk8+eSThISEUFpaSmVl5UXPV3BlqSguInvndrJ2bKU47zgqtZqoxGEkj5lA9NCkq7p8uyRJGHz9MPj6ERIZ3Wwft8tFVVlpnTBUeFYkqhOMCg5lU1NV2WgbX5MZc/cIzN17YA7vgTlcee5rDhRJqgUCgUDQ/tRbwdbPh19uB61Xky6SJDE4eHAHTK6VuN1QkAbZX0D2Rig+qLR3i4fkZ6Dfzcpz8T16UbjdLmwVFWejcuoerRUWrOXlitBTYfGsczV3s1WSMPj54+0fgI/RSLfeMXj7BygiT93iU/doCAi4qq8NBYKuwAUFIFmWr78SE+kMZGZmsnDhQlQqFVqtljfffBNZllmwYAE2mw2DwcDXX3/N/PnzmTdvHvHx8Wg0GlasWNEoqqWeyZMnk5WVxciRIwHw9fVl1apVigAku6HiFFQXgtaglKSUmo+QePfdd3n00UexWq1ER0fzzjvvtPk9Dh48mMTERGJjY4mIiGD06NEXfUx0Oh0ffvghv/71r7FYLDidTp544olLEoAGDBjASy+9xOTJk3G73Wi1Wv7+978zYsSIi5qv4PJTU11Fzg/fkbVjK3lZ+0GWCY/pz6SH5hMzYjTe/p2vtOzlQqVW418X4UO//s32cdTUUFFcRNmpk5QW5FN6Mo/Sk/kc+HYrtbazFU+0XgZFEKoXhuoejd3CRXJqgUAgELQdr4A6K9idsP0vcP3vO3pGrcNRA8e+hYMb4OAmqDqtXCtHjoGkh6DfTWDsnK6CjqTeelUv6jS0XlkrlOidc61X56LWaDA0EG6CIiLxNhoVkSfA2Gidwc8flbpzRXkLBIKWkeRm/ukvehBJ2gb8T2urgA0bNkyuT1xcT1ZWFv37N/8DqsvhrIWyY+CwgncQBHQHSSSW7cxcU+dnM7icDo7t20vWjq0cSfsRl8OBKaw7A8ZOIHZMMkYRsnvRyLKM1VJO6ck8Sk7mU1qgCEOlBflUFhd5+kkqFcbQbpjCGwpDStSQwVfkNBAIBAJBK1n/K0hfDQ9/Dd2HXrh/R2Arg0ObFdHn8BaorVKq/vW5XrF29b0BDKaOnmWHUlNdRXbq9kuyXnkHGPExGj3WK++A+ogdE94BAei9fURUskBwFSNJ0l5Zloc1t+5Sy8BPA94AgoENkiSly7I85VLG7PLUWKDsOCCDKfKa/xITdF5kWabgYBZZqVs5uCuVmqpKvAOMDL7+JvqPnUBodB9xcXAJSJKEj9GEj9FERFzjJOyOmholWqh+qROGjmfsw+VwePp5BxjrbGQNI4ci8A8KFtXKBAKBQNCYKX9UkiTXVwXTdBIrTvkJxdZ1cAPk7gTZBb7dIP5uRfSJGtd55toJcNhr2LL8zVZZr7wDAvAJMAnrlUAg8NAuEUAXyzUZAVRn+SrJO8Sk6fNBrWvkU96yZQuBgVd3ksvHHnuMnTt3Nmp7/PHHeeCBBzpoRu1Hlz8/G1ByMo/s1G0c2LGNiqIzaPR6+iaNpP/YCfSKTxBhvh2I2+2iorDwrJWsTiAqOZlPTWWFp59Gq8MU3r2JMGQK7y4uAAUCgeBaJucrWH0XjH0KJj3fMXOQZTidoYg+2RvgTKbSHhyr5PKJvRXCE0HcyGgW2e3GWmER1iuBQNAi54sAEgLQlcBZC2W54KhWLF/+3cWX2lVGlz4/geryMg5+9y0HdmzjzNEcJElFr0EJ9B87gT5JI9B5GTp6ioILYK2wNIoWKivIp+RkHpbCM2f9/ZKEf1BIgwTUPQisS0ht8A8QEV0CgUBwLfDpY/DT+3VWsCFXZp8uBxzfqQg+B78ESx4gQc8RdaLPLRDY+8rMRSAQCLo4l80CJmgFNRWK+IMMxl7gbe7oGQkEgGIzOrx7Fwd2bOV4Rjqy7CY0ug/Js39B7Ohx+BiFPfFqwts/AG//AHrENk7G7qytpex0QZ0wVJdn6GQ++Vn7cdrtnn5ePr6YGgpDPSIwh/cgIKSbuMMoEAgEXYl6K9j6x+CX2y6fvaqmAg5/DQc3Qs5mJQ2CxgC9JyiVu2JuBJ+gy7NvgUAgEDSLEIAuF7IMlaeg6gxovMAU1WzZTYHgSuJ2uTiemU7Wjq0c3v09DnsN/sEhXHf73fQfk0xgj4iOnqKgndHodAT3jCS4Z2SjdtntprK02BMxVF+dLDd9Lz9v+9rTT6XWYAoL99jIzkYPdUdn8L7C70YgEAgEl4zBCLcthTV3w/b/B5MWt9/YFacUwefgRqWCl6sWvAMh9jaIvRmiJ4BOfHcIBAJBRyEEoMuBq87yVVutfOn59xCWL0GHIcsyZ44eJmvHVrK/+xarpRwvH1/6j02m/9gJdI/pLxIGX4NIKhX+QSH4B4UQObixBaCmuoqygpN1+YUUYag4/wSH93yP7HZ7+um9fdDodHWLvm5p+Lrxc20L7RqdDo1Wj0Z/9rX2nH4iCkkgEAjakZjJkDATUv8K/ety7rQFWYai7Dpr10Y4uVdpN0XBdb9UrF0Rw0ElPsMFAoGgMyAEoPampgLKjytJn4XlS9CBWApPk7VjGwdSt1FWkI9aoyF66HX0HzuBqIRhaLTajp6ioJPi5eNLWN9+hPXt16jd5XRQfua0J1qo2lKGs7a2brErj3Y7tVYr1vIynI5aHOesp41551RqdWPRSHuumNRAaPIISfq6fucRnnT6Jm06gwGV+LEiEAi6Og2rgv1yO2h0rdvO7YK8HxTRJ3sDlB1T2rsPhYmLFdEnOLZRsROBQCAQdA6EANRedAHLV3JyMkuWLGHYsGHcfPPNrFmzBqPReMX2P2rUKL777rsrtr+uiK2ygkPfp3JgxzYKDh4AoMeAgQy7dRoxw0fj5evbwTMUXM2oNVoCu0cQ2L1tVkFZlnE5nWfFoobCUa0dp92Ow3Fu+4WfO2rt2Koqm13fMGKptdz30v81Eb8EAoGgy2Ew1VnB7oFvX4GJv2u5b60Vjm5VBJ9Dm8BaolS0jRoHoxYoiZz9w67c3AUCgUDQJoQA1B64HHWWryowmCGgB063fEUPrtPpRKNpvz1u3Lix3cZqLUL8aRvO2lqOpv3IgR3bOLZvD26Xk8AePRkzYw79x4zHPyiko6coEAAgSRIarVaJPvO5MvtUBKeWRSRHrb3JOv9g8T8jEAiuEWKmwOD7YMf/KZE74Qln11UXK2JP9gY4shWcNtAHKPax2Fug9yTw8u+4uQsEAoHgoumUAtBffvwL2aXZ7TpmrDmWRdctOm+f6upq7rnnHvLz83G5XCxevJjo6Ggef/xxqqur0ev1bNmyBa1Wy7x589izZw8atYpXF/+aCSOHseLznXy8YTNVVVW4XC62b9/OK6+8wrp167Db7UybNo0XX3yx2X3n5uZy0003MWbMGL777ju6d+/O+vXrMRgMpKen8+ijj2K1WunduzfLly/HZDKRnJxMQkICqampzJgxg8zMTAwGA/v27aOwsJDly5ezcuVKdu3axfDhw1mxYgUA8+bNY/fu3dhsNu66665m5xQZGcmePXswGAxNjsm9997L3r17+c1vfkNVVRVBQUGsWLGCsLDm7/wkJyeTmJjIjh07qK6uZuXKlbz88stkZmZy77338tJLLwHg6+tLVVUV27Zt44UXXiAoKIj9+/czdOhQVq1a1WKJ6sjISGbMmMGXX36JRqPhrbfe4tlnn+Xw4cMsXLiQRx99lKqqKqZOnUpZWRkOh4OXXnqJqVOnsnv3bh566CF+/PFHXC4X1113HWvXrmXgwIHnPVc6GtntJj9rPwd2bCPnh53YrdX4mMwk3nQbA8ZOILhXlCjpLRAAao0GtUaD3lskHRUIBIJmufFPZ61gdy1XKnYd3KjYvGS3kstyyP2K6NNrNKiFhVwgEAiuVjqlANRRbNq0ifDwcDZs2ACAxWIhMTGRtWvXkpSUREVFBQaDgaVLlyIBmTs3k52+i8n3PcahrAOg9yUtLY2MjAzMZjObN28mJyeHH3/8EVmWSUlJ4dtvv2XcuHHN7j8nJ4f333+ff/3rX9xzzz189NFHzJo1i9mzZ/PGG28wfvx4nn/+eV588UVee+01AGpra9mzZw8Ac+fOpaysjF27dvHZZ5+RkpLCzp07efvtt0lKSiI9PZ2EhAT++Mc/YjabcblcTJo0iYyMDAYNGtTqY+JwOFiwYAHr168nODiYtWvX8rvf/Y7ly5e3eGx1Oh179uxh6dKlTJ06lb1792I2m+nduzdPPvkkgYGBjfrv27ePn3/+mfDwcEaPHs3OnTsZM2ZMi+P37NmT9PR0nnzySebOncvOnTupqalh4MCBPProo3h5efHJJ5/g7+9PcXExI0aMICUlhaSkJFJSUnjuueew2WzMmjWr04s/ADIyG//2f9itVmKGj6L/mAlEDIwXeUsEAoFAIBBcHAYT3PYavD8dlg1X2kLjYdzTSuWuboNEPh+BQCDoInRKAehCkTqXi/j4eJ566ikWLVrErbfeitFoJCwsjKSkJAD8/ZUw19TUVBbMfwSqC4mNH0qvqN4cOpYHwA033IDZrCR+3rx5M5s3byYxUamsUFVVRU5OTosCUFRUFAkJSujt0KFDyc3NxWKxUF5ezvjx4wGYM2cOd999t2ebe++9t9EYt912G5IkER8fT2hoKPHx8QDExcWRm5tLQkIC69at46233sLpdE/xuxEAACAASURBVHLq1CkOHDjQogB07jEZO3Ys+/fvZ//+/dxwww0AuFyuFqN/6klJSfGMFxcX5+kfHR1NXl5eEwHouuuuo0ePHgAkJCSQm5t7XgGo4fhVVVX4+fnh5+eHXq+nvLwcHx8ffvvb3/Ltt9+iUqk4efIkZ86coVu3bjz//PMkJSXh5eXF66+/ft730VlQqdRMW/R7TGHhaPVXV64pgUAgEAgEnYx+N8Et/wcup/Lc1KujZyQQCASCy0CnFIA6ipiYGNLS0ti4cSPPPfccEydObLmzWgfB/UCtB87eFfHxOZvYQpZlnn32WR555JFW7V+v158dXq3GZrNdcJuG+2s4hkqlajSeSqXC6XRy7NgxlixZwu7duzGZTMydO5eampoWxz/3mEyaNIlp06YRFxfHrl27WvW+WjOvlvqDciya63Mx469evZqioiL27t2LVqslMjLS875LSkqoqqrC4XBQU1PT5Jh2VkIiozt6CgKBQCAQCLoKSQ939AwEAoFAcJlRdfQEOhMFBQV4e3sza9YsFi5cyA8//MCpU6fYvXs3AJWVlTidTsaOHcvq1atB48WhnBxOnDhBv35NK8ZMmTKF5cuXU1VVBcDJkycpLCy8qDkFBARgMpnYsWMHAO+9954nGqgtVFRU4OPjQ0BAAGfOnOHLL788b/9zj0laWhr9+vWjqKjIIwA5HA5+/vnnNs/pSmCxWAgJCUGr1bJ161aOHz/uWffII4/wv//7v8ycOZNFizom+kwgEAgEAoFAIBAIBILLiYgAakBmZiYLFy5EpVKh1Wp58803kWWZBQsWYLPZMBgMfP3118yfP5958+YRHx+PRqNhxYoVjaJO6pk8eTJZWVmMHDkSUJIcr1q1ipCQi6sw8+6773qSQEdHR/POO++0+T0OHjyYxMREYmNjiYiIYPTo0eft39wx0el0fPjhh/z617/GYrHgdDp54okniIuLa/O8LjczZ87ktttuIz4+nmHDhhEbGwvAypUr0Wq13HfffbhcLkaNGsU333xz/ugvgUAgEAgEAoFAIBAIrjIkWZav+E6HDRsm1ycuricrK4v+/ftf8bkIBK1BnJ8CgUAgEAgEAoFAIOjsSJK0V5blYc2tExYwgUAgEAgEAoFAIBAIBIIujrCAXWFKSkqYNGlSk/YtW7Y0qYR1tfHYY4+xc+fORm2PP/44DzzwQLuMP23aNI4dO9ao7S9/+QtTpkxpl/EFAoFAIBAIBAKBQCDoqggB6AoTGBhIenp6R0/jsvD3v//9so7/ySefXNbxBQKBQCAQCAQCgUAg6KoIC5hAIBAIBAKBQCAQCAQCQRfnkgQgSZJekSQpW5KkDEmSPpEkydheExMIBNcepQXV7Nt8goKcclwud0dPRyAQCAQCgUAgEAi6DJdqAfsKeFaWZackSX8BngUWXfq0BALBtcbR9CK+eucATrsLAK1eTXiMkYhYMz36mzCH+SBJUgfPUiAQCAQCgUAgEAiuTi5JAJJleXODl98Dd13adAQCwbWGLMuk/fc4368/SkhPPybNGUDZmWrys8rIyyrleGYJAN4BOo8Y1KOfGV+TvoNnLhAIBAKBQCAQCARXD+2ZBPpBYG1LKyVJ+iXwS4CePXu24247J06nE41G5NgWCM6Hs9bFN+9lk7P7DH2TQpl4fywanRpzuA+9E0MAqCi2kX+wTgz6uYSDP5wGwBTmQ0SsiR79zXSPMaLzEv9vAoFAIBAIBAKBQNASF/zFJEnS10C3Zlb9Tpbl9XV9fgc4gdUtjSPL8lvAWwDDhg2T2zTby0x1dTX33HMP+fn5uFwuFi9eTHR0NI8//jjV1dXo9Xq2bNmCVqtl3rx57NmzB41Gw6uvvsqECRNYsWIFH3/8MVVVVbhcLrZv384rr7zCunXrsNvtTJs2jRdffLHF/a9atYrXX3+d2tpahg8fzrJly8jPz+f6669n165dmM1mxo8fz+LFi4mJieHGG29k6NChpKWlERcXx8qVK/H29r6CR0wgaDvV5XY2vplB4fFKRtwezZApvZq1ePkHGRgQZGDA6HBkt0zxySryskrJzy7j59QCMrbmo1JJhEb50yPWRER/MyFR/qjVIse9QCAQCAQCgUAgENRzQQFIluXrz7dekqS5wK3AJFmW20XYOf2nP2HPym6PoTzo+8fS7be/PW+fTZs2ER4ezoYNGwCwWCwkJiaydu1akpKSqKiowGAwsHTpUiRJIjMzk+zsbCZPnsyhQ4cASEtLIyMjA7PZzObNm8nJyeHHH39ElmVSUlL49ttvGTduXJN9Z2VlsXbtWnbu3IlWq2X+/PmsXr2a2bNns2jRIubNm8d1113HgAEDmDx5Mrm5uRw8eJB///vfjB49mgcffJBly5bxP//zP+163ASCy0Hh8Qo2LsvAXuPipkfjiU4IbtV2kkoiOMKP4Ag/hkzuhdPh4vQRC3nZZeRnlbJ7Yy67N+Si1avpHmOkR38zEbFmTGHeIn+QQCAQCAQCgUAguKa5JM+EJEk3Ak8D42VZtrbPlDqO+Ph4nnrqKRYtWsStt96K0WgkLCyMpKQkAPz9/QFITU1lwYIFAMTGxtKrVy+PAHTDDTdgNpsB2Lx5M5s3byYxMRGAqqoqcnJymhWAtmzZwt69ez37stlshIQoFpiHH36YDz74gH/84x+kp6d7tomIiGD06NEAzJo1i9dff10IQIJOT86eM2x5NwtvPx13LkwgqIdvm8fSaNX0iDXTI9YMt/emptrByYNlHkEoty5/kE+Ark4MMtEj1oyPUeQPEggEAoFAIBAIBNcWl5o042+AHviq7u7697IsP3qpk7pQpM7lIiYmhrS0NDZu3Mhzzz3HxIkTL3oMHx8fz3NZlnn22Wd55JFHLridLMvMmTOHl19+uck6q9VKfn4+oIhIfn5+AE0iGkSEg6AzI7tlfvziGHs25hLWJ4CbHonH4Kdr1314+WjpPSSE3kMa5A/KLiMvW0kmffB7JX+QOdxHsYvFmgkX+YMEAoFAIBAIBALBNcClVgHr014T6QwUFBRgNpuZNWsWRqORZcuWcerUKXbv3k1SUhKVlZUYDAbGjh3L6tWrmThxIocOHeLEiRP069ePtLS0RuNNmTKFxYsXM3PmTHx9fTl58iRardYT2dOQSZMmMXXqVJ588klCQkIoLS2lsrKSXr16sWjRImbOnEmvXr34xS9+wRdffAHAiRMn2LVrFyNHjmTNmjWMGTPmihwngeBiqa1xsmVFFkfTi+g/OozxM/qh1lz+HD3+QQYGjDEwYExd/qD8KvKyS8nPKuXnHQVkfFOXPyjanx6xZiV/UKSfyB8kEAgEAoFAIBAIuhzitncDMjMzWbhwISqVCq1Wy5tvvoksyyxYsACbzYbBYODrr79m/vz5zJs3j/j4eDQaDStWrECvb2opmTx5MllZWYwcORIAX19fVq1a1awANGDAAF566SUmT56M2+1Gq9Xy97//ndzc/9/evUdHVaZ7Hv++SSoXciMXkgISAggJF4OCBLQjKHAEFQY7KiCjrQ72aRuODDYOgnN0DvZxVitelvYsL6tbbfSIdhjBaS+gaBRyoBWINBAkIVEJEMiFJECoEAhJ3vmjihhiQrimQuX3WYtVlb137Xp28rJ37afe93mL2Lx5Mxs2bMDf358VK1bwl7/8hXHjxpGSksLLL7/MrFmzGDJkCLNnz77kvyORc1VdWcuqV3Op2u/i+mkDGTY+wSu91YyfoUefcHr0aVE/KO8QxflVbP5kN5s/3o0j2J/eyVEkDnYPF4tyqn6QiIiIiIhc/sxFqtt8TkaOHGlzcnJOW5aXl8fgwYM7PJbLVVFREVOmTGHHjh3eDqVLUPs8PyU/HGH1a9tpqLdM+vVQ+gyN8XZIbTpec5LifHcyaF/+IaoP1gIQ2j2oabr5hEFRhEaqfpCIiIjIxWAbLUcO1lK+txosJI9qbfJpETkXxphvrbUjW1unHkAicknk/b2Ete/mEx4VzOR/GUaUM7T9F3lRcKiDAdfEMeCan+oHnZpuvii3kvxm9YMSB0WTMDiKXgNVP0hERETkbFhrqa44Tvmeag7uOUr53moO7nVRV1sPQGximBJAIpeY7lw6WGVlJRMmTPjZ8qysLGJizr53RN++fdX7RzqlxkbL1yu/Z+sX+0gYFMWkf76S4FCHt8M6ZxGxIQwd05uhY3r/VD8or4p9eVXsyN7Pti/3NdUPShzsqR+UFI6f6geJiIhIF2etxXXoBOV7qinfc5SDnscTx9zJHr8AQ2zvMJLT4umRFE5cUgTRPbt5OWoR36cEUAeLiYk5bSp3EV9yoraez9/4jj07Kkkdl8D1dw7wiYTIafWDJiVRX9dAyY9HKM6rYl/eITZ9vJtNH+0mMNifXslRnoRQFN3jVT9IREREfF/N4Z+SPeV7jnJwbzW1R08C4OdniO4dyhUj4og7lezpFdohE4KIyOmUABKRi+Jw+TFWvbKdI+W13PBfU7hybG9vh3TJBAT6kzgomsRB0VyXAcddJynedahphrGi7RUAhEUFkTDIXUy6b2oMQd0uv55QIiIiIs0dq65zD+Pae9ST8Knm2JE6AIxxD5dPSo0lro872ROTEEqAw9/LUYsIKAEkIhdBcX4Vn/7ZPSRx6ryr6Z0S5eWIOlZw2On1g44crHUXk86rYvf2CvK/LsU/wI++w2JIHuUk6coYfeslIiIind5x10nK954axuVO9rgOnXCvNBAV343EQdFNw7hiE8JwBCnZI9JZKQEkIhdkx7pisjML6R7fjclzhhHZI8TbIXldZI8QInu46wc1NlrKi6op3FxGYU4ZP2w5SFBoAAOviSflWifx/SI0TExERES87kRtfVOtnlPDuKorjjetj4wLoeeA7p5hXOHEJoZrMgyRy4z+x4rIeWloaGT98kJ2rNtP39QYbpo1lMAQnVJa8vMzOPtH4uwfyS/uHMC+nVUUbCwl7+sSdmTvJ6JHCCmj4kke5aR7vIofioiIyKVXd7yein1Hm5I95XuqOVJe27Q+IjaYHn0iGDqmN3FJ7jqIGsoucvnT3ZqInLPjNSf59E872L/rEMMn9uHaX16Bn596sbTH39+Pvqmx9E2Npa62nh/+cZCCTaVsXlXE5k+KiO8XQcpoJwNGxhESFujtcEVERMQHnKxroGKf66fp1/dUc6jsGFj3+rCoIOKSIhh0XU93754+EQSHKdkj4ouUAOpEwsLCcLlcF21/ffv2JScnh9jY2Iu2T5Gqkho+eWU7rkPHmXD/YAZd29PbIV2WAkMCGPyLngz+RU9ch45TsLmMgo2lZP+1gPXLC+lzZQwpo530TY0hIFBj6UVERKR99ScbqCyucc/Itdc9/XpVyTFsozvb0y0ikLikcAamxdPDU6S5W4S+dBLpKjplAug/lxdQse/iJUIAYhPDGDM9+aLu80zq6+sJCOiUv16R87ZnRyVrXt+Bf6A/GfNH4Owf6e2QfEJYVDAjJiYxYmISFcUudm0spXBTKUXbKwgM9ueKa+JIGeWk18DuGPW0EhEREaChvpGqAzXNpl+vpmp/DY2eZE9wmIO4pHD6XdWjKdkT2j1QtQdFujBlKJqpqalh+vTpFBcX09DQwBNPPEH//v2ZN28eNTU1BAUFkZWVhcPhYPbs2eTk5BAQEMALL7zAuHHjWLp0KStXrsTlctHQ0MC6det49tlnWb58OSdOnCAjI4Mnn3yy3TistTz66KOsXr0aYwyPP/44M2bMoLGxkYceeogvv/ySxMREHA4Hs2bN4s4772xzX0uWLGH16tWEhITw7rvvMmDAAD766COeeuop6urqiImJYdmyZcTHx7Nu3TrmzZsHgDGG7OxswsPDz+kY3nnnHf74xz9SV1fH6NGjeeWVV/D3V++Fy521lq1f7OPrld8TkxDGrbOHER4d7O2wfFJsQhixCQO4LuMK9u86RMHGUr7PKSdvQwlhUUEkj3KSMtpJdK9Qb4cqIiIiHazmyAlyPimifE81FftdNNa7kz1B3QLo0Secq2/q467ZkxROeHSwkj0icppOmQDqyJ46zX366af06tWLTz75BIAjR44wfPhwMjMzSUtLo7q6mpCQEF566SWMMeTm5pKfn8/EiRMpKCgAYMuWLWzfvp3o6GjWrFlDYWEhmzZtwlrL1KlTyc7OZuzYsWeMY+XKlWzdupVt27ZRUVFBWloaY8eOZcOGDRQVFbFz507Ky8sZPHgws2bNOuO+IiMjyc3N5e233+bhhx/m448/5vrrr+ebb77BGMPrr7/OkiVLeP7553nuued4+eWXSU9Px+VyERwcfE7HkJeXR2ZmJhs2bMDhcDBnzhyWLVvGvffee55/EekMGk42svbdfPK/LuWK4T2YcP8QTe/ZAfz8DImDo0kcHM3YmQ3s3n6QXd+U8Y/P97Llsz3EJoaRMtrJwLR4QiODvB2uiIiIdAD/AD8KNpXSo084w8YlNs3IFREbomSPiLSrUyaAvCU1NZVHHnmEhQsXMmXKFLp3707Pnj1JS0sDICIiAoD169czd+5cAAYNGkRSUlJTAuimm24iOjoagDVr1rBmzRqGDx8OgMvlorCwsN0E0Pr165k5cyb+/v7Ex8dzww03sHnzZtavX8+0adPw8/PD6XQybty4do9p5syZTY+/+93vACguLmbGjBmUlJRQV1dHv379AEhPT2f+/Pncfffd3H777SQkJJzTMWRlZfHtt982/b5qa2uJi4trN0bpvI5V17H6tVxKfzxC2uS+pE3upyFIXuAI8ic5zUlympNj1XUUbi6jYFMpG97/nr+v+J7EwdEkj3bS/+oeSs6JiIj4sOBQB79+Yaw+j4nIeVECqJnk5GS2bNnCqlWrePzxxxk/fvw57yM09KdhGdZaHnvsMR588MGLGeY5af5NwKnnc+fOZf78+UydOpW1a9eyePFiABYtWsTkyZNZtWoV6enpfPbZZ+d0DNZa7rvvPv7whz9ckmORjlVRfJRPXtnO8aMnmfTPVzLgGiXzOoNuEYFcNSGRqyYkUlVSQ8GmUgo2lvHFX3YSEORP/6tjSRntJGFQtGZmExER8UFK/ojI+fLzdgCdyYEDB+jWrRv33HMPCxYsYOPGjZSUlLB582YAjh49Sn19PWPGjGHZsmUAFBQUsHfvXlJSUn62v0mTJvHmm282zey1f/9+ysvL241jzJgxZGZm0tDQwMGDB8nOzmbUqFGkp6ezYsUKGhsbKSsrY+3ate3uKzMzs+nxuuuuA9xD23r37g3AW2+91bTtDz/8QGpqKgsXLiQtLY38/PxzOoYJEybw/vvvN62vqqpiz5497cYonc+P/zjIiiXfgoXbF1yj5E8nFd0zlGtvu4JfPXUdGY+MIDktnqLtlXz0x228tWgD698v5ODeo1hrvR2qiIiIiIh4mXoANZObm8uCBQvw8/PD4XDw6quvYq1l7ty51NbWEhISwhdffMGcOXOYPXs2qampBAQEsHTpUoKCfl6DY+LEieTl5TUlXsLCwnjnnXfaHRaVkZHB119/zVVXXYUxhiVLluB0OrnjjjvIyspiyJAhJCYmMmLECCIjzzwL06FDhxg2bBhBQUG89957ACxevJhp06YRFRXF+PHj2b17NwAvvvgiX331FX5+fgwdOpRbbrmFoKCgsz6GIUOG8NRTTzFx4kQaGxtxOBy8/PLLJCUltf/Ll07BWsu3q4vY+OFu4vtFcMtvU1Vf5jJg/Ay9Bnan18DujJkxkD25lezaWEruV8Vs+2If0b1CSR4VT/Iop4p3i4iIiIh0UcYb3wyPHDnS5uTknLYsLy+PwYMHd3gslxuXy0VYWBiVlZWMGjWKDRs24HQ6vR2Wz+sK7bO+roEv386jMKeclNFObrwnhQCH6slczo67TvL9t2Xs2lhG6Y9HwEDvgd1JHu3kihFxBIXoOwAREREREV9ijPnWWjuytXUX9OnfGPPvwG1AI1AO3G+tPXAh+5QzmzJlCocPH6auro4nnnhCyR+5KFyHTrD6te2U7z3KdRlXMHxiH80k4QOCwxxceUMCV96QwJGDxyjYVMaub0r56j/yyf5rAf2GxZI82kmfodH4+2tEsIiIiIiIL7ugHkDGmAhrbbXn+X8Hhlhrf9ve67pyD6DKykomTJjws+VZWVnExMSc1z4zMjKahnGd8swzzzBp0qTz2l97LsUxdHa+3D7Ldlez6rXtnDzewE0PDKXfsFhvhySXkLWWsqJqCr4ppTCnnOM1JwkOczDwmjiSr3US3zdCyT8RERERkcvUJesBdCr54xEKqNJoO2JiYti6detF3ecHH3xwUffXnktxDOIdBZtK+fLtfLpFBjL10auJ6R3m7ZDkEjPG4OwXibNfJOnTB7L3uyoKNpayc0MJuev2ExkXQspoJ8mj4ons0c3b4YqIiIiIyEVywQUgjDH/G7gXOAKMO8N2vwF+A9CnT58LfVsRuQC20bLxwx/59tM99BrYnZsfvJKQsEBvhyUdzN/fj37DYuk3LJYTtfX8sKWcgo2lbPpoN5s+2o2zfyQpo+MZcE08wWEOb4crIiIiIiIXoN0hYMaYL4DWCs38q7X2b822ewwIttb+W3tv2pWHgMnlyZfaZ93xer74y052b6tgyPW9GHtXMv4Bqv8iPzladZyCTaXs2ljGoZIa/PwNSVfGkDLaSd/UWPwdai8iIiIiIp3RBQ0Bs9b+01m+zzJgFdBuAkhEvKO6opZVr26n6kANY2YMJPXGBNV7kZ8Jjw7mmpv7MmJSEhX7XOzaVErhpjJ2b6sgqFsAV4yII2W0k55XRGL81H5ERERERC4HFzoL2EBrbaHnx9uA/AsPSUQuhQPfH2b1a7nYRst/mXs1iUOivR2SdHLGGHr0CadHn3B+kXEFxbsOsWtjKQWbStm5/gABgX6EhAUSEu4gOMxBSFggweEOQsIchIQHNj0GhzoICXcQGBKghKOIiIiIiJdcaA2gp40xKbingd8DtDsDmLQtLCwMl8t10fbXt29fcnJyiI3tuFmdZs2axccff0xcXBw7duxoWl5VVcWMGTMoKiqib9++LF++nKioqA6Lq6vbueEA697dRURsCJPnDKN7vIr7yrnx8/ejz5AY+gyJoW5mPbu3VVCx7yi1rpPUHj3JcVcdh0qOUeuqo76usY19mKZEUYgnURTc6nP3Y1CoAz/1MBIRERERuSgudBawOy5WIM19tfRPlO/58aLuMy6pP+Pu/81F3eeZ1NfXExBwwTW2Lzv3338/Dz30EPfee+9py59++mkmTJjAokWLePrpp3n66ad55plnvBRl19HY0MjfV/7Atqx9JA6JZuIDQwkOVTFfuTCBwQGkjHaSMrq18nBwsq6B2qN1HHedpNZ1kuNH65oSRbWuOk/C6CTle49y3HWSE8fqW38jA8HdHD/1MGqlV9FPvY7c61SfSERERESkdV0vQ3EGNTU1TJ8+neLiYhoaGnjiiSfo378/8+bNo6amhqCgILKysnA4HMyePZucnBwCAgJ44YUXGDduHEuXLmXlypW4XC4aGhpYt24dzz77LMuXL+fEiRNkZGTw5JNPthuHtZZHH32U1atXY4zh8ccfZ8aMGTQ2NvLQQw/x5ZdfkpiYiMPhYNasWdx5551t7mvJkiWsXr2akJAQ3n33XQYMGMBHH33EU089RV1dHTExMSxbtoz4+HjWrVvHvHnzAPfQj+zsbMLDw8/pGMaOHUtRUdHPlv/tb39j7dq1ANx3333ceOONSgBdYieOnWTN69+xd2cVw8YnkH7HAPz8dXMsl54j0B9HTAgRMSFntX1DQ6M7WeRJEB0/6k4c/fTcnTQ6VHqMEpc7sdTW/AWOYP/ThqAFn0oahQV6kkiO04atOYL8NSxNRERERLqETpkA6sieOs19+umn9OrVi08++QSAI0eOMHz4cDIzM0lLS6O6upqQkBBeeukljDHk5uaSn5/PxIkTKSgoAGDLli1s376d6Oho1qxZQ2FhIZs2bcJay9SpU8nOzmbs2LFnjGPlypVs3bqVbdu2UVFRQVpaGmPHjmXDhg0UFRWxc+dOysvLGTx4MLNmzTrjviIjI8nNzeXtt9/m4Ycf5uOPP+b666/nm2++wRjD66+/zpIlS3j++ed57rnnePnll0lPT8flchEcHHzex9BSWVkZPXv2BMDpdFJWVnZOr5dzc7jsGJ+8sp3qilrG3TOIIdf38nZIIm3y9/cjNDKI0Migs9reNlpOHKtvSgz91Kvo1M/u567DJzi4z0Wtq47G+tYzRv4OP8/ws5+SRmmT+2mYpIiIiIj4nE6ZAPKW1NRUHnnkERYuXMiUKVPo3r07PXv2JC0tDYCIiAgA1q9fz9y5cwEYNGgQSUlJTQmgm266iehod3HdNWvWsGbNGoYPHw6Ay+WisLCw3eTJ+vXrmTlzJv7+/sTHx3PDDTewefNm1q9fz7Rp0/Dz88PpdDJu3Lh2j2nmzJlNj7/73e8AKC4uZsaMGZSUlFBXV0e/fv0ASE9PZ/78+dx9993cfvvtJCQknPcxnIkxRt+4X0L78qr47M87MH6G2x6+ml4DVWtJfIvxc9cSCg5zENX6KLTTWGs5ebzhtOFntc2TRU1D1Oo4Un6MhobWaxiJiIiIiFzOlABqJjk5mS1btrBq1Soef/xxxo8ff877CA0NbXpureWxxx7jwQcfvJhhnpPmiZZTz+fOncv8+fOZOnUqa9euZfHixQAsWrSIyZMns2rVKtLT0/nss88u2jHEx8dTUlJCz549KSkpIS4u7oL2Jz9nrWXHuv385/JCopzdmDxnGBGxZzcER8SXGWMIDAkgMCSAyB7ejkZERERExDtUEKSZAwcO0K1bN+655x4WLFjAxo0bKSkpYfPmzQAcPXqU+vp6xowZw7JlywAoKChg7969pKSk/Gx/kyZN4s0332ya2Wv//v2Ul5e3G8eYMWPIzMykoaGBxuXgQgAACY1JREFUgwcPkp2dzahRo0hPT2fFihU0NjZSVlbWVFPnTDIzM5ser7vuOsA9tK13794AvPXWW03b/vDDD6SmprJw4ULS0tLIz88/72NoaerUqU3v9dZbb3Hbbbed8z6kbQ0Njax7dxfZfy0g6coY7nj0GiV/REREREREpIl6ADWTm5vLggUL8PPzw+Fw8Oqrr2KtZe7cudTW1hISEsIXX3zBnDlzmD17NqmpqQQEBLB06VKCgn5eu2LixInk5eU1JV7CwsJ455132u39kpGRwddff81VV12FMYYlS5bgdDq54447yMrKYsiQISQmJjJixAgiIyPPuK9Dhw4xbNgwgoKCeO+99wBYvHgx06ZNIyoqivHjx7N7924AXnzxRb766iv8/PwYOnQot9xyC0FBQed0DDNnzmTt2rVUVFSQkJDAk08+yQMPPMCiRYuYPn06b7zxBklJSSxfvvzMfww5a8ddJ/n0T7nsLzjMiJuTuHZqf4ymzhYREREREZFmjG1rKpVLaOTIkTYnJ+e0ZXl5eQwePLjDY7ncuFwuwsLCqKysZNSoUWzYsAGn8yyKYMgF6azts/KAi1WvbKfmcB3jfjWozWm5RURERERExPcZY7611o5sbZ16AF1mpkyZwuHDh6mrq+OJJ55Q8qcLK9pewZo3v8MR6M8vHxmOs9+Ze4OJiIiIiIhI16UEUAerrKxkwoQJP1uelZVFTExMu69vre5PRkZG0zCuU5555hkmTZp03nGeyYUeg1y4k3UNrF2WT/e4btw6O5WwqGBvhyQiIiIiIiKdWKdKAFlrfX568JiYGLZu3XpR9/nBBx9c1P2151IcQ2fmjWGS7XEE+jN13nDCY4NxBPp7OxwRERERERHp5DrNLGDBwcFUVlZ2yptt6bqstVRWVhIc3Pl62ET3ClXyR0RERERERM5Kp+kBlJCQQHFxMQcPHvR2KCKnCQ4OJiEhwdthiIiIiIiIiJy3TpMAcjgc9OvXz9thiIiIiIiIiIj4nE4zBExERERERERERC4NJYBERERERERERHycEkAiIiIiIiIiIj7OeGPWLWPMQWBPh7/xpRELVHg7COlU1CakNWoX0pLahLRG7UJaUpuQ1qhdSEtqE3JKkrW2R2srvJIA8iXGmBxr7UhvxyGdh9qEtEbtQlpSm5DWqF1IS2oT0hq1C2lJbULOhoaAiYiIiIiIiIj4OCWARERERERERER8nBJAF+5P3g5AOh21CWmN2oW0pDYhrVG7kJbUJqQ1ahfSktqEtEs1gEREREREREREfJx6AImIiIiIiIiI+DglgEREREREREREfJwSQGfBGHOzMWaXMeZ7Y8yiVtYHGWMyPes3GmP6dnyU0pGMMYnGmK+MMTuNMd8ZY+a1ss2Nxpgjxpitnn//yxuxSscyxhQZY3I9f/OcVtYbY8wfPeeL7caYEd6IUzqGMSal2TlgqzGm2hjzcIttdK7oAowxbxpjyo0xO5otizbGfG6MKfQ8RrXx2vs82xQaY+7ruKjlUmqjTTxrjMn3XB8+MMZ0b+O1Z7zWyOWrjXax2Bizv9l14tY2XnvGexa5PLXRJjKbtYciY8zWNl6rc4WcRjWA2mGM8QcKgJuAYmAzMNNau7PZNnOAYdba3xpj7gIyrLUzvBKwdAhjTE+gp7V2izEmHPgW+GWLdnEj8D+stVO8FKZ4gTGmCBhpra1oY/2twFzgVmA08JK1dnTHRSje4rme7AdGW2v3NFt+IzpX+DxjzFjABbxtrb3Ss2wJUGWtfdpzsxZlrV3Y4nXRQA4wErC4rzfXWGsPdegByEXXRpuYCHxpra03xjwD0LJNeLYr4gzXGrl8tdEuFgMua+1zZ3hdu/cscnlqrU20WP88cMRa+/tW1hWhc4U0ox5A7RsFfG+t/dFaWwf8FbitxTa3AW95nr8PTDDGmA6MUTqYtbbEWrvF8/wokAf09m5Ucpm4DfcF3FprvwG6exKK4vsmAD80T/5I12GtzQaqWixu/vnhLeCXrbx0EvC5tbbKk/T5HLj5kgUqHaa1NmGtXWOtrff8+A2Q0OGBiVe1ca44G2dzzyKXoTO1Cc8953TgvQ4NSi5bSgC1rzewr9nPxfz8Rr9pG89F+wgQ0yHRidd5hvwNBza2svo6Y8w2Y8xqY8zQDg1MvMUCa4wx3xpjftPK+rM5p4hvuou2P6DpXNE1xVtrSzzPS4H4VrbROaPrmgWsbmNde9ca8T0PeYYGvtnGcFGdK7qmMUCZtbawjfU6V8hplAASuQDGmDBgBfCwtba6xeotQJK19irg/wD/r6PjE6+43lo7ArgF+BdPt13p4owxgcBU4P+2slrnCsG6x+RrXL4AYIz5V6AeWNbGJrrWdC2vAlcAVwMlwPPeDUc6kZmcufePzhVyGiWA2rcfSGz2c4JnWavbGGMCgEigskOiE68xxjhwJ3+WWWtXtlxvra221ro8z1cBDmNMbAeHKR3MWrvf81gOfIC7S3ZzZ3NOEd9zC7DFWlvWcoXOFV1a2akhoJ7H8la20TmjizHG3A9MAe62bRTrPItrjfgQa22ZtbbBWtsI/JnW/946V3QxnvvO24HMtrbRuUJaUgKofZuBgcaYfp5vcO8CPmyxzYfAqVk57sRdvE/f4vkwz3jbN4A8a+0LbWzjPFULyhgzCvf/NyUGfZgxJtRTFBxjTCgwEdjRYrMPgXuN27W4i/aVIL6uzW/odK7o0pp/frgP+Fsr23wGTDTGRHmGfUz0LBMfZIy5GXgUmGqtPdbGNmdzrREf0qJWYAat/73P5p5FfMs/AfnW2uLWVupcIa0J8HYAnZ1nFoaHcH/Y8gfetNZ+Z4z5PZBjrf0QdyLgP4wx3+Mu0HWX9yKWDpIO/ArIbTbt4v8E+gBYa1/DnQycbYypB2qBu5QY9HnxwAeee/kA4F1r7afGmN9CU7tYhXsGsO+BY8B/81Ks0kE8H7puAh5stqx5m9C5ogswxrwH3AjEGmOKgX8DngaWG2MeAPbgLuSJMWYk8Ftr7a+ttVXGmH/HfXMH8Htr7fkUiJVOpo028RgQBHzuuZZ845llthfwurX2Vtq41njhEOQSaKNd3GiMuRr3MNEiPNeT5u2irXsWLxyCXGSttQlr7Ru0UltQ5wppj6aBFxERERERERHxcRoCJiIiIiIiIiLi45QAEhERERERERHxcUoAiYiIiIiIiIj4OCWARERERERERER8nBJAIiIiIiIiIiI+TgkgEREREREREREfpwSQiIiIiIiIiIiP+//cpwpO6ZiQtgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "columns_to_show = ['score_sklearn_normalize', 'score_normalise_mean', 'score_normalise_min_max', \n",
    "                   'score_exp', 'score_log_base_e', 'score_log_base_10']\n",
    "plt.plot(df[columns_to_show])\n",
    "plt.legend(columns_to_show)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### `score_normalise_mean` is a lot less smoother than `score_sklearn_normalize` or `score_normalise_min_max`, while the log variants are discontinuous. Although discontinuous, they do trace the deviations of the other plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
